Question

I need the answer to my edmentum question. please help !

Answer 1

Given:

`7^{-(5)/(6)}\cdot7^{-(7)/(6)}`

Required: To simplify the given expression.

This is explained thus:

Using the multiplication law and the negative index law of indices, we have:

`\begin{gathered} 7^{-(5)/(6)}\cdot7^{-(7)/(6)} \\ =7^{-(5)/(6)+(-(7)/(6))} \\ =7^{-(5)/(6)-(7)/(6)} \\ =7^(-2) \\ =(1)/(7^2) \\ =(1)/(49) \end{gathered}`

Hence, the answer is:

`(1)/(49)`