Question

What is 1/8 to the third power as a negative exponent

Answer 1

`((1)/(8))^(-3)=512`

Step-by-step explanation:

1/8 to the third power as a negative exponent

`((1)/(8))^(-3)`

Simplifying we have;

`((1)/(8))^(-3)=8^3=8*8*8=512`

Negative power are the power of the exponent.

Like;

`\begin{gathered} 2^(-1)=(1)/(2) \\ ((1)/(4))^(-2)=4^2=16 \end{gathered}`

So, the solution to the question is;

`((1)/(8))^(-3)=512`