Question

Provide a written explanation for each question below.

a. Is it true that (1000^(1/ 3)==(1000^3)^(1/ 3)? Explain how you know.

Answer 1

The given expression is not equal so this is not true

Explanation:

We have given that
`(1000)^{(1)/(3)}=((1000)^3)^(1)/(3)`

We have to tell that it is true or not

For this we have to prove L.H.S = R.H.S

L.H.S =
`(1000)^{(1)/(3)`

R.H.S =
`((1000)^3)^(1)/(3)=(1000)^{(1)/(3)* 3}=1000`

Hence L.H.S
`\\ot\equiv` R.H.S

So this is not true