Question

How do you solve `x^-3 = 1/8`?

Answer 1

`x=2`

Explanation:

`color(blue)(x^-3=1/8`

Use the law of Negative exponents `color(brown)(x^-y=1/x^y`
`:.x^-3=1/x^3`

`rarr1/x^3=1/8`

Cross multiply `color(orange)(a/b=c/d,ad=bc`

`rarrx^3=8`

`rArrcolor(green)(x=root(3)8=2`