Find the value of1/4^ 2By using the law of exponent, a^m=1/a^ m[ 1/4^ 2 = 4^2; = 16 ]Hence, the correct option is A. ...

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Laws of Exponents for Real Numbers

The value of1...

Question

The value of $\frac{1}{4^{- 2}}$ is

$16$

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$8$

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$\frac{1}{16}$

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$\frac{1}{8}$

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Solution

The correct option is A
$16$

Find the value of $\frac{1}{4^{- 2}}$
By using the law of exponent,
$a^{m} = \frac{1}{a^{- m}}$
$\begin{array}{rcl} \frac{1}{4^{- 2}} & = & 4^{2} \\ = & 16 \end{array}$
Hence, the correct option is A.

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