Question

32¹/⁵ , Solve this expression?

Answer 1

we know
${32} = {2}^{5}$
so
${32}^{ \frac{1}{5} } \\ = {( {2}^{5} )}^{ \frac{1}{5} } \\ = {(2)}^{5 \times \frac{1}{5} } \\ = {(2)}^{1} \\ = 2$
so the answer is 2

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Answer 2

Resolve 32 into product of

prime factors.

2 | 32

_______

2 | 16

_______

2 | 8

_______

2 | 4

_______

****2

32 = 2^5

Now ,

32^1/5

= ( 2^5 )^1/5

= 2^( 5 × 1/5 )

[ Since , ( a^m )ⁿ = a^mn ]

= 2

Therefore ,

32^1/5 = 2

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