Question

Look at the picture and plzzz help

Answer 1

the answer to the problem would be c

Answer 2

The correct choice is C.

Step-by-step explanation

We know that:

`\sqrt[3]{7} = {7}^{ (1)/(3) }`

We want to simplify:

`( { {7}^{ (1)/(3) } )}^(3)`

The exponent here is 3. This means that the base must multiply itself 3 times.

`( { {7}^{ (1)/(3) } )}^(3) = {7}^{ (1)/(3) } * {7}^{ (1)/(3) } * {7}^{ (1)/(3) }`

Recall that:

`{a}^(m) * {a}^(n) = {a}^(m + n)`

This implies that,

`( { {7}^{ (1)/(3) } )}^(3) = {7}^{ (1)/(3) + (1)/(3) + (1)/(3) }`

Simplify:

`( { {7}^{ (1)/(3) } )}^(3) = {7}^{ (3)/(3)}`

`( { {7}^{ (1)/(3) } )}^(3) = {7}^( 1) = 7`

The correct choice is C