Question

4^3 x 4^-6 = 4^5 x 4

Answer 1

`\begin{gathered} 4^3*4^(-6)=4^5*4^{\text{?}} \\ 4^((3-6))=4^5*4^? \\ (4^(-3))/(4^5)=4^? \\ 4^((-3-5))=4^{\text{?}} \\ 4^(-8)=4^{\text{?}} \\ \text{Thus, the exponent is -8.} \end{gathered}`
`\begin{gathered} (5^(-3))^2=(5^(-6))^{\text{?}} \\ 5^(-6)=5^(-6?) \\ \text{Take log of both side}, \\ -6\log \text{ 5=-6?log 5} \\ -6=-6 \\ So,\text{ the exponent is 1.} \end{gathered}`