Question

Look at the picture and plzzz help

Answer 1

the answer to the problem would be c

Answer 2

ANSWER

The correct choice is C.

EXPLANATION

We know that:

$\sqrt[3]{7} = {7}^{ \frac{1}{3} }$

We want to simplify:

$( { {7}^{ \frac{1}{3} } )}^{3}$

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

$( { {7}^{ \frac{1}{3} } )}^{3} = {7}^{ \frac{1}{3} } \times {7}^{ \frac{1}{3} } \times {7}^{ \frac{1}{3} }$

Recall that:

${a}^{m} \times {a}^{n} = {a}^{m + n}$

This implies that,

$( { {7}^{ \frac{1}{3} } )}^{3} = {7}^{ \frac{1}{3} + \frac{1}{3} + \frac{1}{3} }$

Simplify:

$( { {7}^{ \frac{1}{3} } )}^{3} = {7}^{ \frac{3}{3}}$

$( { {7}^{ \frac{1}{3} } )}^{3} = {7}^{ 1} = 7$

The correct choice is C