Question

Plplpl solve the answer​

Answer 1

Given:

The expression is:

`\sqrt[3]{(-512)/(729)}`

To find:

The value of the given expression.

Solution:

We have,

`\sqrt[3]{(-512)/(729)}`

It can be rewritten as

`=\sqrt[3]{((-8)* (-8) * (-8))/(9* 9* 9)}`

`=\sqrt[3]{((-8)^3)/(9^3)}`
`[\because a^ma^n=a^(m+n)]`

`=\sqrt[3]{\left((-8)/(9)\right)^3}`
`[\because (a^m)/(b^m)=\left((a)/(b)\right)^m]`

`=(-8)/(9)`
`[\because \sqrt[n]{x^n}=x]`

The value of given expression is
`(-8)/(9)`.

Therefore, the correct option is b.