Provide a written explanation for each question below. a. Is it true that (1000^(1/ 3)==(1000^3)^(1/ 3)? Explain how you know.

Question

asked Jun 11, 2020 129k views

1 Answer

Antti Simonen · Answer 1 · 2020-06-18T18:06:24+0000

Answer:

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