"How to simplify 3215 ?" was answered by our experts

Secondary
Algebra
Algebra I
Irrational numbers

Josue Winters

Answered question

2023-03-11

How to simplify

32^{\frac{1}{5}}

Answer & Explanation

matancer4e3

Beginner2023-03-12Added 2 answers

Step

1

: Find factors of

32

32

can be written as :

32 = 2 \times 2 \times 2 \times 2 \times 2

32 = 2^{5}

Step

2

: Make the necessary term simpler.

32^{\frac{1}{5}}

can be written as

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

.
Using the exponentiation rule,

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

can be written as

2^{\frac{5}{5}}

.
Hence,

32^{\frac{1}{5}}

= 2

.
Hence,

32^{\frac{1}{5}}

can be simplified as

2

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