Which of the following best defines 2 2/3? A:cube root 4 B:square root 4 C:cube root 2 D:square root 2

Question

asked Jul 7, 2018 140k views

2 Answers

Blusky · Answer 1 · 2018-07-09T20:04:04+0000

Answer:

Option A.

Explanation:

The given expression is

$2^{(2)/(3)}$

We need to find the equivalent expression of given expression.

Using the properties of exponent the given expression can we written as

$(2^2)^{(1)/(3)}$
$[\because (a^m)^n=a^(mn)]$

$4^{(1)/(3)}$

Using the another property of exponent we get

$\sqrt[3]{4}$
$[\because a^{(1)/(n)}=\sqrt[n]{a}]$

The expression cube root 4 is equivalent to the given expression.

Therefore, the correct option is A.

Kgibbon · Answer 2 · 2018-07-11T16:25:07+0000

Answer:

A.
$\sqrt[3]{4}$ = Cube root of 4.

Explanation:

We have been given an expression
$2^{(2)/(3)}$ . We are asked to find the equivalent expression for our given expression.

Using exponent property
$\sqrt[n]{a^m} =a^{(m)/(n)$ , we will get,

$2^{(2)/(3)}=\sqrt[3]{2^2}$

$2^{(2)/(3)}=\sqrt[3]{4}$

Upon looking at our given choices, we can see that option A is the correct choice.