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Math Problems
Algebra 2
Evaluate rational exponents
dd. Write your answer in scientific notation.
\newline
(
3
×
1
0
5
)
+
(
5.6
×
1
0
7
)
\left(3 \times 10^{5}\right)+\left(5.6 \times 10^{7}\right)
(
3
×
1
0
5
)
+
(
5.6
×
1
0
7
)
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Simplify:
5
24.2
\sqrt{\frac{5}{24.2}}
24.2
5
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Evaluate the expression.
\newline
−
11
+
9
(
−
7
+
3
)
-11+9(-7+3)
−
11
+
9
(
−
7
+
3
)
\newline
Type a number in the box.____
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Simplify:
\newline
(
3
4
)
3
\left(\frac{3}{4}\right)^{3}
(
4
3
)
3
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Integrate
1
9
−
x
2
\frac{1}{\sqrt{9-x^2}}
9
−
x
2
1
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Simplify:
\newline
7
×
6
÷
2
−
4
2
7\times6\div2-4^{2}
7
×
6
÷
2
−
4
2
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(
−
2
x
2
y
7
)
5
\left(-2 x^{2} y^{7}\right)^{5}
(
−
2
x
2
y
7
)
5
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Simplify the exponent:
(
5
x
6
y
0
)
2
(5x^{6}y^{0})^{2}
(
5
x
6
y
0
)
2
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Simplifying the Expression:
(
12
x
2
y
−
1
2
)
\left(\frac{12}{x^{2}y^{-\frac{1}{2}}}\right)
(
x
2
y
−
2
1
12
)
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Using special product rules, evaluate
89
8
2
898^{2}
89
8
2
.
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Write in shortest mathematical form:
\newline
(a) the square root of
5
5
5
less than three times a number
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Simplify. Express your answer using exponents.
\newline
(
10
x
9
x
18
)
−
5
\left(\frac{10 x^{9}}{x^{18}}\right)^{-5}
(
x
18
10
x
9
)
−
5
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Simplify.
\newline
(
2
5
)
3
=
\left(\frac{2}{5}\right)^{3}=
(
5
2
)
3
=
\newline
(Type a simplified fraction.)
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Simplify.
\newline
2
(
3
x
)
−
4
\frac{2}{(3 x)^{-4}}
(
3
x
)
−
4
2
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Write
3
4
\frac{3}{4}
4
3
as a decima!.
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Find the value of
7
−
(
1
2
)
3
7-(\frac{1}{2})^3
7
−
(
2
1
)
3
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Find the
2
2
2
nd term in the expansion of
(
2
x
−
9
y
)
7
(2 x-9 y)^{7}
(
2
x
−
9
y
)
7
in simplest form.
\newline
Answer:
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d
2
−
20
d
+
100
d^{2}-20 d+100
d
2
−
20
d
+
100
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84
\sqrt{84}
84
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6
3
+
12
6
\frac{6}{3}+\frac{12}{6}
3
6
+
6
12
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4
4
4
.
x
2
9
−
y
2
4
=
1
\frac{x^{2}}{9}-\frac{y^{2}}{4}=1
9
x
2
−
4
y
2
=
1
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find the square roots of
100
100
100
and
169
169
169
by the method of repeated subtraction
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What is the rational number between
1
2
\frac{1}{2}
2
1
and
1
3
?
\frac{1}{3} ?
3
1
?
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(i)
−
5
6
+
3
4
\frac{-5}{6}+\frac{3}{4}
6
−
5
+
4
3
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Simplify.
\newline
(
6
g
4
h
3
)
(
7
g
h
)
\left(6 g^{4} h^{3}\right)(7 g h)
(
6
g
4
h
3
)
(
7
g
h
)
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Prime Factorisation of:-
\newline
753
753
753
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(
16
81
)
3
4
\left(\frac{16}{81}\right)^{\frac{3}{4}}
(
81
16
)
4
3
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Find solution of root
(
1
+
2
x
)
=
−
1
3
(1+2x)=-\frac{1}{3}
(
1
+
2
x
)
=
−
3
1
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Write the answer in proper scientific notation:
\newline
9
×
1
0
7
4000
\frac{9 \times 10^{7}}{4000}
4000
9
×
1
0
7
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(
4
0
)
−
3
4
−
3
\frac{\left(4^{0}\right)^{-3}}{4^{-3}}
4
−
3
(
4
0
)
−
3
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−
128
3
\sqrt[3]{-128}
3
−
128
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1
8
4
(
−
9
)
4
−
2
2
\frac{18^{4}}{(-9)^{4}}-2^{2}
(
−
9
)
4
1
8
4
−
2
2
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(
16
a
6
b
2
)
1
2
\left(16 a^{6} b^{2}\right)^{\frac{1}{2}}
(
16
a
6
b
2
)
2
1
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Compute:
\newline
(
−
11
)
+
1
(-11)+1
(
−
11
)
+
1
\newline
Answer:
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75
a
6
\sqrt{75 a^{6}}
75
a
6
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3
×
1
0
5
3 \times 10^{5}
3
×
1
0
5
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2.4327
×
1
0
4
2.4327 \times 10^{4}
2.4327
×
1
0
4
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Simplify the following fraction:
66
90
\frac{66}{90}
90
66
\newline
Answer:
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Simplify the following fraction:
25
75
\frac{25}{75}
75
25
\newline
Answer:
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Simplify the following fraction:
14
77
\frac{14}{77}
77
14
\newline
Answer:
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Which expression is equivalent to
2
x
+
2
x
2x + 2x
2
x
+
2
x
?
\newline
Choices:
\newline
(A)
x
4
x^4
x
4
\newline
(B)
4
x
4x
4
x
\newline
(C)
3
x
3x
3
x
\newline
(D)
x
+
4
x + 4
x
+
4
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Simplify.
\newline
11
x
2
\sqrt{11x^{2}}
11
x
2
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Evaluate the expression shown below and write your answer as a fraction in simplest form
(
4
9
−
20
7
)
÷
3
4
\left(\frac{4}{9} - \frac{20}{7}\right)\div \frac{3}{4}
(
9
4
−
7
20
)
÷
4
3
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What is the value of the expression
7
×
(
5
−
3
)
3
−
20
÷
4
7 \times(5-3)^{3}-20 \div 4
7
×
(
5
−
3
)
3
−
20
÷
4
? Show your work.
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Evaluate:
4
9
(
3
2
)
?
49^{\left(\frac{3}{2}\right)}?
4
9
(
2
3
)
?
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Which expression is equivalent to
\newline
(
a
3
)
6
(a^{3})^{6}
(
a
3
)
6
?
\newline
A.
a
729
a^{729}
a
729
\newline
B.
a
18
a^{18}
a
18
\newline
C.
a
9
a^9
a
9
\newline
D.
a
2
a^2
a
2
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What is the reciprocal of
(
7
4
)
(\frac{7}{4})
(
4
7
)
?
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Write the answer in proper scientific notation:
\newline
(
0.00004
×
1
0
7
)
3
(0.00004 \times 10^{7})^{3}
(
0.00004
×
1
0
7
)
3
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What is the value of
ln
e
3
\ln e^{3}
ln
e
3
?
\newline
Answer:
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Express the given expression as an integer or as a fraction in simplest form.
\newline
(
1
0
log
5
)
\left(10^{\log 5}\right)
(
1
0
l
o
g
5
)
\newline
Answer:
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