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Let’s check out your problem:
Simplify to a single power of
5
5
5
:
\newline
5
×
5
2
5 \times 5^{2}
5
×
5
2
\newline
Answer:
5
□
5 ^\square
5
□
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Home
Math Problems
Algebra 2
Evaluate rational exponents
Full solution
Q.
Simplify to a single power of
5
5
5
:
\newline
5
×
5
2
5 \times 5^{2}
5
×
5
2
\newline
Answer:
5
□
5 ^\square
5
□
Recognize Power of
5
5
5
:
Recognize that
5
5
5
is the same as
5
1
5^{1}
5
1
since any number to the power of
1
1
1
is itself.
Use Exponent Property:
Use the property of exponents that states when you multiply powers with the same base, you add the exponents.
\newline
5
1
×
5
2
=
5
1
+
2
5^{1} \times 5^{2} = 5^{1+2}
5
1
×
5
2
=
5
1
+
2
Perform Exponent Addition:
Perform the addition of the exponents.
5
(
1
+
2
)
=
5
3
5^{(1+2)} = 5^{3}
5
(
1
+
2
)
=
5
3
Write Final Answer:
Write down the final answer.
\newline
Answer:
5
3
5^3
5
3
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A
A
or
A
B
\frac{A}{B}
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, where
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A
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and
B
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B
\frac{A}{B}
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, where
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A
A
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\newline
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\newline
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