# Exponentiation of a fraction: 1/2^4

Welcome to my article exponentiation of a fraction: 1/2^4. This question is taken from the simplification lesson.
The solution of this question has been explained in a very simple way by a well-known teacher by doing addition, subtraction, and fractions.
For complete information on how to solve this question exponentiation of a fraction: 1/2^4, read and understand it carefully till the end.

Let us know how to solve this question exponentiation of a fraction: 1/2^4.

First write the question on the page of the notebook

## exponentiation of a fraction: 1/2^4

Before solving this question, we will write in this way,

\displaystyle \Rightarrow {{\left( {\frac{1}{2}} \right)}^{4}}

\displaystyle \Rightarrow \frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}

\displaystyle \Rightarrow \frac{1}{4}\times \frac{1}{4}

\displaystyle \Rightarrow \frac{1}{{16}}

so , \displaystyle {{\left( {\frac{1}{2}} \right)}^{4}}=\frac{1}{{16}}=0.0625 [Answer]

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