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Negative exponents

3

times as old as Christopher and is also

14

years older than Christopher.

These five rational numbers are plotted on a horizontal number line.

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-\frac{5}{3}

\frac{5}{5}

-\frac{1}{2}

\frac{7}{10}

-\frac{4}{3}

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Which statement about the locations on the number line of the rational numbers is true?

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\frac{2}{3}

is farthest to the left, and

\frac{7}{8}

is farthest to the right.

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-\frac{1}{3}

is farthest to the left, and

\frac{7}{8}

is farthest to the right.

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-\frac{2}{3}

is farthest to the left, and

\frac{7}{10}

is farthest to the right.

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-\frac{4}{3}

is farthest to the left, and

\frac{7}{10}

is farthest to the right.

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These five rational numbers are plotted on a horizontal number line.

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-\frac{3}{3}, \frac{5}{5},-\frac{1}{5}, \frac{7}{10},-\frac{1}{3}

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Which statement about the locations on the number line of the rational numbers is true?

\newline

\frac{2}{3}

is faithest to the left, and

\frac{7}{8}

is farthest to the right.

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-\frac{4}{3}

is farthest to the left, and

\frac{7}{8}

is farthest to the right.

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-\frac{2}{3}

is farthest to the left, and

\frac{7}{10}

is farthest to the right.

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\frac{4}{3}

is farthest to the left, and

\frac{7}{10}

is farthest to the right.

Select all the expressions that are equivalent to

3^4 \times 7^4

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Multi-select Choices:

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\frac{1}{21^{-4}}

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21^8

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21^{16}

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21^4

f^{\prime}(x)=1 / f(x)

f(0)=2

f(4)

can be written in fully simplified form as

m \sqrt{n}

for some integers

m

n

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m

n

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\begin{array}{l} m= \square \\ n= \square \end{array}

k

whose domain is the set of positive integers is defined as

k(1)=4

k(n)=k(n-1)-2

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k

was evaluated for several numbers. Which of the following are true?

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Select each correct answer.

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k(-1)=-4

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k(0)=-2

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k(2)=2

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k(3)=0

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k(6)=3

Write the expression as a whole number with a negative exponent. Do not evaluate the expression.

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\frac{1}{8^6}

Write the expression as a whole number with a negative exponent. Do not evaluate the expression.

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\frac{1}{82^5}

Write the expression as a whole number with a negative exponent. Do not evaluate the expression.

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\frac{1}{4^{23}}

Which is equal to

\frac{1}{83^{81}}

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\newline

(-83)^{81}

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83^{-81}

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-83^{81}

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-\frac{1}{83^{-81}}

Which is equal to

\frac{1}{31^{79}}

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\frac{1}{(-31)^{79}}

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(-31)^{-79}

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31^{-79}

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31^{79}

Write the expression as a whole number with a negative exponent. Do not evaluate the expression.

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\frac{1}{76^{38}}

Write the expression as a fraction with a positive exponent. Do not evaluate the expression.

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\frac{1}{53^{15}}

Write the expression as a whole number with a negative exponent. Do not evaluate the expression.

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\frac{1}{4^3}

Write the expression as a whole number with a negative exponent. Do not evaluate the expression.

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\frac{1}{7^{17}}

Write the expression as a fraction with a positive exponent. Do not evaluate the expression.

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\frac{1}{80^{-4}}

Write the expression as a whole number with a negative exponent. Do not evaluate the expression.

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\frac{1}{49^6}

Write the expression as a fraction with a positive exponent. Do not evaluate the expression.

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\frac{1}{47^{79}}

Write the expression as a whole number with a negative exponent. Do not evaluate the expression.

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\frac{1}{5^3}

Write the expression as a fraction with a positive exponent. Do not evaluate the expression.

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\frac{1}{3^{68}}

Which is equal to

\frac{1}{28^9}

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-\frac{1}{28^{-9}}

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\frac{1}{28^{-9}}

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28^{-9}

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(-28)^{-9}

Write the expression as a fraction with a positive exponent. Do not evaluate the expression.

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\frac{1}{3^7}

Write the expression as a fraction with a positive exponent. Do not evaluate the expression.

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\frac{1}{21^9}

Which is equal to

\frac{1}{19^9}

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\newline

19^{-9}

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-\frac{1}{19^{-9}}

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-19^9

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19^9

Write the expression as a fraction with a positive exponent. Do not evaluate the expression.

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\frac{1}{94^{-42}}

Which is equal to

\frac{1}{23^8}

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\newline

23^{-8}

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-23^8

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(-23)^8

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-\frac{1}{23^{-8}}

Write the expression as a fraction with a positive exponent. Do not evaluate the expression.

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\frac{1}{8^9}

Write the expression as a whole number with a negative exponent. Do not evaluate the expression.

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\frac{1}{72^{92}}

Write the expression as a whole number with a negative exponent. Do not evaluate the expression.

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\frac{1}{66^7}

Write the expression as a fraction with a positive exponent. Do not evaluate the expression.

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\frac{1}{5^{42}}

Write the expression as a whole number with a negative exponent. Do not evaluate the expression.

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\frac{1}{84^4}

Write the expression as a whole number with a negative exponent. Do not evaluate the expression.

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\frac{1}{8^{54}}

Write the expression as a whole number with a negative exponent. Do not evaluate the expression.

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\frac{1}{3^9}

Which is equal to

\frac{1}{89^{40}}

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\newline

-(-89)^{40}

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-\frac{1}{(-89)^{-40}}

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89^{-40}

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-89^{40}

Write the expression as a whole number with a negative exponent. Do not evaluate the expression.

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\frac{1}{89^{78}}

Which is equal to

3^{-49}

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\newline

(-3)^{-49}

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\frac{1}{3^{49}}

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-(-3)^{49}

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\frac{1}{(-3)^{-49}}

Write the expression as a fraction with a positive exponent. Do not evaluate the expression.

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\frac{1}{7^6}

Write the expression as a whole number with a negative exponent. Do not evaluate the expression.

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\frac{1}{48^{67}}

Write the expression as a fraction with a positive exponent. Do not evaluate the expression.

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\frac{1}{3^{91}}

Write the expression as a fraction with a positive exponent. Do not evaluate the expression.

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\frac{1}{92^{-98}}

Which is equal to

\frac{1}{2^{86}}

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\newline

-(-2)^{86}

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\frac{1}{(-2)^{-86}}

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-\frac{1}{2^{-86}}

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2^{-86}

Which is equal to

\frac{1}{27^3}

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(-27)^{-3}

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27^{-3}

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-\frac{1}{(-27)^{-3}}

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\frac{1}{(-27)^3}

Which is equal to

\frac{1}{83^{71}}

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\frac{1}{(-83)^{71}}

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-(-83)^{71}

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83^{-71}

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83^{71}

Write the expression as a fraction with a positive exponent. Do not evaluate the expression.

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\frac{1}{76^{-6}}

Write the expression as a fraction with a positive exponent. Do not evaluate the expression.

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\frac{1}{62^{18}}

Which is equal to

9^{-13}

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-(-9)^{13}

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\frac{1}{9^{13}}

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\frac{1}{(-9)^{-13}}

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(-9)^{-13}

Write the expression as a fraction with a positive exponent. Do not evaluate the expression.

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\frac{1}{18^{73}}

Write the expression as a whole number with a negative exponent. Do not evaluate the expression.

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\frac{1}{15^6}

Which is equal to

\frac{1}{4^{34}}

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-\frac{1}{(-4)^{-34}}

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-\frac{1}{4^{-34}}

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-4^{34}

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4^{-34}

Write the expression as a fraction with a positive exponent. Do not evaluate the expression.

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\frac{1}{75^{-6}}