The correct option is A 4 As given ( 32)^2/5 We can write 32 as 2^5 ⇒ ( 2^5 )^2/5 ⇒ ( 2^5·2/5 ) ⇒ ( 2^2 ) ⇒ 4 ...

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Formation of Algebraic Expressions

Evaluate -32...

Question

Evaluate $(- 32)^{\frac{2}{5}}$

4

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64

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8

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none of the above

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Solution

The correct option is A $4$
As given $(- 32)^{\frac{2}{5}}$
We can write 32 as $2^{5}$
$\Rightarrow {(- 2^{5})}^{\frac{2}{5}}$
$\Rightarrow (- 2^{5 \cdot \frac{2}{5}})$
$\Rightarrow (- 2^{2})$
$\Rightarrow 4$

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