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What is value of (\frac{8^2}{2^4})

Answer and explanation

Correct answer: 4

Rewrite 8 as a power of 2: 8 = 2^3, so 8^2 = (2^3)^2 = 2^6. Therefore, \(\frac{8^2}{2^4}=\frac{2^6}{2^4}=2^{6-4}=2^2=4\). Hence, option A is correct; option D results from considering only the denominator and ignoring the numerator. In exams, subtract the exponents when dividing powers with the same base.

Related tags

ExponentsNumber SystemsLaws Of ExponentsPowersClass 9 MathematicsMathematicsClass 9 Mcq

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