Question

Which of the following is equivalent to the expression below? 5^8.13*PHOTO*

Answer 1

Step 1

Given;

Step 2

`\begin{gathered} 5^(8.13)=5^(8+0.13) \\ =5^{8+(1)/(10)+(3)/(100)} \\ =5^8*5^{(1)/(10)}*5^{(3)/(100)} \end{gathered}`

Answer; Thus using the law of indices, we have-

`\begin{equation*} 5^8*5^{(1)/(10)}*5^{(3)/(100)} \end{equation*}`