Question

Write the expression without a negative exponent.1/a^-4

Answer 1

Explanation

We are given the expression below:

`(1)/(a^(-4))`

We are required to rewrite the expression without a negative exponent.

This can be achieved thus:

`\begin{gathered} (1)/(a^(-4)) \\ We\text{ }know\text{ }from\text{ }indices\text{ }that\text{ }a^(-x)=(1)/(a^x) \\ \therefore(1)/(a^(-4))=1/ a^(-4)=1/(1)/(a^4) \\ =1*(a^4)/(1)=a^4 \end{gathered}`

Hence, the answer is a⁴.