Question

find the value of (32)1/5

Answer 1

Heya friend!
Here's ur answer!

The value of (32)1/5
= (2^5)1/5
= (2)5×1/5
= 2 ^ 1
= 2.

Hope that helps!!☺
Thanks!! ! ☺

Answer 2

$(32)^{\frac{1}{5} } =2$   is the required solution.

Given:

$(32)^{\frac{1}{5} }$

To Find:

Evaluate

Solution:

aⁿ = a multiplied by a , n times

(xᵃ)ᵇ = (xᵇ)ᵃ = xᵃᵇ

a¹ = a

Step 1:

Prime factorize 32

32 = 2 * 2 * 2 * 2 * 2

=> 32 = 2⁵

Step 2:

Substitute 32 = 2⁵ in given expression  $(32)^{\frac{1}{5} }$

$(2^5)^{\frac{1}{5} }$

Step 3:

Use (xᵃ)ᵇ =  xᵃᵇ  and 5 * 1/5 = 1

2¹

Step 4:

Use a¹ = a

2

Hence  $(32)^{\frac{1}{5} } =2$