The correct option is D 1/2(1/2)^ 2÷(1/2)^ 3 =(1/2)^ 2+3 (∵a^m/a^n=a^m n) =(1/2)^1=1/2 ...

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1/2-2÷1/2-3=

Question

${(\frac{1}{2})}^{- 2} \div {(\frac{1}{2})}^{- 3} =$

\frac{1}{2}

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\frac{1}{4}

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\frac{1}{2}

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Solution

The correct option is D $\frac{1}{2}$
${(\frac{1}{2})}^{- 2} \div {(\frac{1}{2})}^{- 3}$
$= {(\frac{1}{2})}^{- 2 + 3} (∵ \frac{a^{m}}{a^{n}} = a^{m - n})$
$= {(\frac{1}{2})}^{1} = \frac{1}{2}$

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