Respuesta :

              32=2^5

^ = "to the power of"

1/32=1/2^5

1/2^5=2^-5

so

1/32=2^-5
JeanaShupp

[tex]\frac1{32}[/tex] can be expressed as [tex]2^{-5}[/tex].

Explanation:

Given expression:  [tex]\frac1{32}[/tex]

To write: The given expression as power of 2.

Concept - Exponents

[tex]\frac{1}{a^n}=a^{-n}[/tex]

Computation:

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

Hence, [tex]\frac1{32}[/tex] can be expressed as [tex]2^{-5}[/tex].

Learn more about exponents:

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