Question

Select the equivalent expression.
\left(\dfrac{8^{-5}}{2^{-2}}\right)^{-4}=?(2−28−5​)−4=?

Answer 1

Answer:

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Answer 2

Answer:

6^-5

Step-by-step explanation:

This is the definition for negative exponents:

x^{-n}=\dfrac{1}{x^n}x

−n

=

x

n

1

​

x, start superscript, minus, n, end superscript, equals, start fraction, 1, divided by, x, start superscript, n, end superscript, end fraction

Hint #22 / 2

Applying the definition in the reverse direction, we get:

\dfrac{1}{6^{5}}=6^{-{5}}

6

5

1

​

=6

−5

start fraction, 1, divided by, 6, start superscript, 5, end superscript, end fraction, equals, 6, start superscript, minus, 5, end superscript.