Question

કિંમત શોધો. (32)2/5​

Answer 1

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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Answer 2

Answer: $\large{\bold{\red{\:4}}}$

Given:

$\sf{(32)^{\frac{2}{5}}}$

To find:

The value

Formula used:

$\boxed{\sf{(a^m)^n = a^{m×n}}}$

Solution:

$\leadsto$ $\sf{(32)^{\frac{2}{5}}}$$=$ $\sf{(2^5)^{\frac{2}{5}}}$

$=$ $\sf{(2)^{\cancel{5}×\frac{2}{\cancel{5}}}}$$=$ $\sf{(2)^{2}}$$=$ $\bold{\red{4}}$