Look at the picture and plzzz help

Question

asked Jul 25, 2020 96.0k views

2 Answers

Bhawna · Answer 1 · 2020-07-29T22:26:52+0000

ANSWER

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