Question

. To what power (-2) should be raised to get 16?​

Answer 1

the power of (-2) should be raised to 4 to get 16

$( - 2) ^{4} = ( - 2)( - 2)( - 2)( - 2)$

$= (4)(4)$

$= 16$

$hope \: it \: helps \: you \: out \:$

Hope it helps you out ❣️

Answer 2

Let the number be = x

$\implies \: {x}^{ - 2} = 16$

Make the power positive by resiprocaling the number

$\implies \: { ( \frac{1}{x}) }^{2} = 16 \\ \\ \implies \: \frac{1}{x} = \sqrt{16} \\ \\ \implies \: \frac{1}{x } = 4$

On transposing the terms :

$\star \: \boxed { \frac{1}{4} = x} \\ \\ \therefore \: \large\red{number = \frac{1}{4} }$

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