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Exponent of Exponent

If a = 2 and ...

Question

If a = 2 and b = 3, 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

On substituting a = 2 and b = 3, we get

$(2^{3})^{2} = 2^{3 \times 2} [∵ (x^{m})^{n} = x^{(m \times n)}]$

$= 2^{6}$

$= 64$

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