Question

I’m not sure what I’m suppose to do the answer say evaluate is the answer 64 ?

Answer 1

64

Step-by-step explanation:
`\text{Given: }(1)/(8^(-2))`
`\begin{gathered} (1)/(8^(-2))\text{ = 1 }/8^(-2) \\ In\text{ indices, for a}^(-b)\text{ = }(1)/(a^b) \\ \text{Applying the above to }8^(-2)\colon \\ 8^(-2)\text{ = }(1)/(8^2) \end{gathered}`
`\begin{gathered} (1)/(8^(-2))\text{ = 1 }/(1)/(8^2) \\ \text{when dividing fractions, the second fraction is flipped} \\ \text{And the sign changes to multiplication:} \\ \text{1 }/(1)/(8^2)\text{ = 1}*\text{ }(8^2)/(1) \\ =\text{ 1 }*\text{ 64 = 64} \\ \\ (1)/(8^(-2))\text{ = 64} \end{gathered}`