Which expressions are equivalent to (1)/(5)*(1)/(5)*(1)/(5)*(1)/(5) ? Choose 2 answers: A (5^(-2))^(2) B (5^(-4))^(0) c. (5^(1))/(5^(4)) D 5^(2)*5^(-6)

Simplify expression: Simplify the given expression. (1/5) * (1/5) * (1/5) * (1/5) can be written as (1/5)^4 because when you multiply the same base with exponents, you add the exponents. Calculation: (1/5)^4 = 5^(-4)Evaluate answer choices: Evaluate each answer choice to see if it is equivalent to 5^(-4). A. (5^(-2))^2 = 5^(-4) because when you raise a power to a power, you multiply the exponents. Calculation: (-2) * 2 = -4

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Which expressions are equivalent to
(1)/(5)*(1)/(5)*(1)/(5)*(1)/(5) ?
Choose 2 answers:
A
(5^(-2))^(2)
B
(5^(-4))^(0)
c.
(5^(1))/(5^(4))
D
5^(2)*5^(-6)

Which expressions are equivalent to $\newline$ $(\frac{1}{5})\cdot(\frac{1}{5})\cdot(\frac{1}{5})\cdot(\frac{1}{5})$ ? $\newline$ Choose $2$ answers: $\newline$ A. $(5^{-2})^{2}$ $\newline$ B. $(5^{-4})^{0}$ $\newline$ C. $\frac{5^{1}}{5^{4}}$ $\newline$ D. $5^{2}\cdot5^{-6}$

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Math Problems

Grade 8

Evaluate expressions using properties of exponents

Full solution

Q. Which expressions are equivalent to

\newline

(\frac{1}{5})\cdot(\frac{1}{5})\cdot(\frac{1}{5})\cdot(\frac{1}{5})

\newline

Choose

2

answers:

\newline

(5^{-2})^{2}

\newline

(5^{-4})^{0}

\newline

\frac{5^{1}}{5^{4}}

\newline

5^{2}\cdot5^{-6}

Simplify expression: Simplify the given expression. $(\frac{1}{5}) \times (\frac{1}{5}) \times (\frac{1}{5}) \times (\frac{1}{5})$ can be written as $(\frac{1}{5})^4$ because when you multiply the same base with exponents, you add the exponents. $\newline$ Calculation: $(\frac{1}{5})^4 = 5^{-4}$
Evaluate answer choices: Evaluate each answer choice to see if it is equivalent to $5^{-4}$ . $\newline$ A. $(5^{-2})^2 = 5^{-4}$ because when you raise a power to a power, you multiply the exponents. $\newline$ Calculation: $(-2) \times 2 = -4$