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>>Class 11
>>Applied Mathematics
>>Logarithm and Antilogarithm
>>Indices
>> $Simplify and express the result in power$

Question

Simplify and express the result in power notation with a positive exponent.
$(\frac{1}{2 ^{3}})^{2}$

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Updated on : 2022-09-05

Solution

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Let $a = (\frac{1}{2 ^{3}})^{2} = \frac{1}{2 ^{3 \times 2}}$

$= \frac{1}{2 ^{6}}$

$a = (\frac{1}{2})^{6}$

$∴ (\frac{1}{2 ^{3}})^{2} = (\frac{1}{2})^{6}$

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