Question

Write (2 to the power of -1) to the power of 3 with the same base but one exponent

Answer 1

`(1)/(8)`

Step-by-step explanation

Step 1

`(2^(-1))^3`

remember

`\begin{gathered} a^(-n)=(1)/(a^n) \\ (a^n)^m=a^(n\cdot m) \\ ((a)/(b))^m=(a^m)/(b^m) \end{gathered}`

Step 2

solve

`\begin{gathered} (2^(-1))^3 \\ (2^(-1))^3=((1)/(2^1))^3=((1^3)/(2^3))=(1)/(8) \end{gathered}`