Question

Which expression is equivalent to (10x)^-3

Answer 1

`(1)/(1000x^(3) )`

Explanation:

Use the Negative Power Rule which is
`x^(-a) =(1)/(x^(a))`

So we write this as
`(1)/((10x)^3)`

Then we use the Multiplication Distributive Property which is
`(xy)^(a) =x^ay^a`

So we write this as
`(1)/(10^(3) x^(3) )`

Then we simplify to write it as
`(1)/(1000x^(3) )`