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Let’s check out your problem:
Simplify. Express your answer using a single exponent.
\newline
(
y
−
8
)
6
(y^{-8})^{6}
(
y
−
8
)
6
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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
(
y
−
8
)
6
(y^{-8})^{6}
(
y
−
8
)
6
Identify Operation:
Identify the operation needed for the exponentiation of an exponent.
\newline
When raising a power to a power, we multiply the exponents.
Apply Exponent Rule:
Apply the exponent rule
(
y
−
8
)
6
(y^{-8})^{6}
(
y
−
8
)
6
. We multiply the exponents
−
8
-8
−
8
and
6
6
6
.
y
(
−
8
×
6
)
y^{(-8 \times 6)}
y
(
−
8
×
6
)
=
y
−
48
y^{-48}
y
−
48
Check for Errors:
Check for any mathematical errors in the previous steps.
\newline
No errors were made in the calculations.
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Evaluate the expression.
\newline
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\newline
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−
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\newline
Enter the answer as an exact decimal or simplified fraction.
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