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Verified Answer :

32=2^5

^ = "to the power of"

1/32=1/2^5

1/2^5=2^-5

so

1/32=2^-5

\(\frac1{32}\) can be expressed as \(2^{-5}\).

Explanation:

Given expression:  \(\frac1{32}\)

To write: The given expression as power of 2.

Concept - Exponents

\(\frac{1}{a^n}=a^{-n}\)

Computation:

\(\dfrac{1}{32}=\dfrac{1}{2\times2\times2\times2\times2}\\\\=\dfrac{1}{2^5}\\\\=2^{-5}\ \ \ [\because \frac{1}{a^n}=a^{-n}]\)

Hence, \(\frac1{32}\) can be expressed as \(2^{-5}\).

Learn more about exponents:

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