Question

કિંમત શોધો (32)2/5
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Answer 1

We have:

$(32)^{\dfrac{2}{5} }$

We have to find the value of $(32)^{\dfrac{2}{5} }$.

Solution:

∴ $(32)^{\dfrac{2}{5} }$

$=(2^5)^{\dfrac{2}{5} }$ [ ∵ 32 = 2 × 2 × 2 ×2 × 2 = $2^{5}$]

$=2^{5\times{\dfrac{2}{5} }}$ [ ∵ $a^{m\times n}=a^{mn}$]

$=2^2$

= 4

Thus, the value of $(32)^{\dfrac{2}{5} }$ is 4.

Answer 2

Given :   (32)^(2/5)

To Find : Value

Solution:

(32)^(2/5)

32  = 2 x 2 x 2 x 2 x 2

=> 32 = 2⁵

= (2⁵)^(2/5)

(xᵃ)ᵇ  = xᵃˣᵇ

= 2^(5 x 2/5)

= 2^(2)

= 2²

= 4

 (32)^(2/5) = 4

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