Question

find the value of(64)1/3

Answer 1

Here is your solution

The exponent 1/3 means the third root. so the answer is 4 
4 x 4 x 4 = 64

Explanation:-

The fractional exponent is a root 64^1/2 = 8 
because 8×8 =64

The fractional exponent is a root 64^1/3 = 4

hence,
4 x 4 x 4 = 64



I hope it helps you

Answer 2

☺️hey mate! here's your answer!☺️

since, we know that,

${(x)}^{ \frac{1}{3} } = \sqrt[3]{x}$

so, here,

${(64)}^{ \frac{1}{3} } = \sqrt[3]{64}$

then, by prime factorisation,

64 = 2 × 2 × 2 × 2 × 2 × 2

it can be written as ,

64 = 4 × 4 × 4

thus,

$\sqrt[3]{64} = \sqrt[3]{4 \times 4 \times 4}$


$= > \sqrt[3]{64} = 4$

thus, cube root of 64 is 4 .......answer!!

hope it is helpful ✌️!