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Let’s check out your problem:
Simplify. Express your answer using a single exponent.
\newline
(
w
5
)
8
(w^{5})^{8}
(
w
5
)
8
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Math Problems
Algebra 1
Simplify exponential expressions using exponent rules
Full solution
Q.
Simplify. Express your answer using a single exponent.
\newline
(
w
5
)
8
(w^{5})^{8}
(
w
5
)
8
Identify Operation:
Identify the operation needed for the exponents.
\newline
When raising a power to a power, you multiply the exponents.
Apply Exponent Rule:
Apply the exponent rule
(
w
5
)
8
(w^5)^8
(
w
5
)
8
. We multiply the exponents
5
5
5
and
8
8
8
.
w
(
5
∗
8
)
=
w
40
w^{(5*8)} = w^{40}
w
(
5
∗
8
)
=
w
40
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\newline
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