Question

Which expression is equivalent to 64 2/3?

Answer 1

The Answer is: (√64)3

Answer 2

This question is based on the concept of algebraic identity. Therefore the correct option is A, that is $(\sqrt[3]{64}) ^2$  expression is equivalent to $64^{\dfrac{2}{3} {$.

Given:

Expression is $64^{\dfrac{2}{3} {$.

We need to determined the expression is equivalent to $64^{\dfrac{2}{3} {$.

According to the question,

By using the algebraic identity,

$(a^m )^n = a^{mn}$

Therefore, it is given that, $64^{\dfrac{2}{3} {$.

Given expression can be written as follows by using identity.

$= 64 ^ \frac{2}{3} \\= 64 ^ {\frac{1}{3} \times 2 }$

Now, further can be proceed as follows,

$= (\sqrt[3]{64}) ^2$

Therefore the correct option is A, that is $(\sqrt[3]{64}) ^2$  expression is equivalent to $64^{\dfrac{2}{3} {$.

For more details, prefer this link:

https://brainly.com/question/3519313