Question

The value of 2–²
is:
4
1/4
2
1/2​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

$\sf{The \: value \: of \: \: {2}^{ - 2} }$

• 4

• $\displaystyle \sf{ \frac{1}{4} }$

• $2$

• $\displaystyle \sf{ \frac{1}{2} }$

EVALUATION

$\displaystyle \sf{ {2}^{ - 2} }$

$\displaystyle \sf{ = \frac{1}{ {2}^{2} } \: \: \: \bigg( \because \: \: {a}^{ - n} = \frac{1}{ {a}^{n} } \: \: \bigg) }$

$\displaystyle \sf{ = \frac{1}{ 4 } \: \: \: }$

FINAL ANSWER

Hence the correct option is

$\displaystyle \sf{ \frac{1}{4 }}$

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Answer 2

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