Find- 32-1-5 - Maths Q-A

Compute the required value.We can write 32 as32=2 x 2 x 2 x 2 x 20ex0ex =2^5That is32^1/5=(2^5)^1/5 =2^5×1/50ex0ex=2Hence, the value of 32^1/5 is 2. ...

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Byju's Answer

Standard XII

Mathematics

Algebra of Derivatives

Find: 32^1/5 ...

Question

Find: $32^{\frac{1}{5}}$ .

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Solution

Compute the required value.
We can write $32$ as
$32 = 2 x 2 x 2 x 2 x 2 = 2^{5}$
That is
$32^{\frac{1}{5}} = {(2^{5})}^{\frac{1}{5}}$
$= 2^{5 \times \frac{1}{5}} = 2$
Hence, the value of $32^{\frac{1}{5}}$ is $2$ .

Suggest Corrections

Find: 3215.

Compute the required value.We can write 32 as32=2x2x2x2x2=25That is3215=2515 =25×15=2Hence, the value of 3215 is 2.

Find: $32^{\frac{1}{5}}$ .

Compute the required value.
We can write $32$ as
$32 = 2 x 2 x 2 x 2 x 2 = 2^{5}$
That is
$32^{\frac{1}{5}} = {(2^{5})}^{\frac{1}{5}}$
$= 2^{5 \times \frac{1}{5}} = 2$
Hence, the value of $32^{\frac{1}{5}}$ is $2$ .