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Power of a Power

If a=2 and b=...

Question

If a = 2 and b = 3 then, find the value of $(a^{b})^{a}$ .

A

16

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B

32

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C

64

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D

128

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Solution

The correct option is C
64

Substitute a= 2 and b = 3

We get $(2^{3})^{2} = 2^{3} \times 2^{3} = 2^{3 + 3} = 2^{6}$ = 64

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