Question

Which is equivalent to 64 1/4

Answer 1

It A i just took the quiz and got it but fail 

Answer 2

Answer:

Option (a) is correct.

$(64)^\frac{1}{4}=2\sqrt[4]{4}$

Step-by-step explanation:

Given : Expression  $(64)^\frac{1}{4}$

We have to choose an equivalent expression to the given expression $(64)^\frac{1}{4}$

Consider the given expression $(64)^\frac{1}{4}$

64 can be written as 2 × 2 × 2 × 2 × 2× 2 =$2^6$

Thus, The given expression becomes,

$(64)^\frac{1}{4}=(2^6)^\frac{1}{4}$

Also, $2^6=2^4\cdot2^2$

Thus,

$(2^6)^\frac{1}{4}=(2^4\cdot 2^2)^\frac{1}{4}$

Simplify, we have,

$=2\sqrt[4]{4}$

Thus,  $(64)^\frac{1}{4}=2\sqrt[4]{4}$