The correct option is B 32(2^7)^2 × nbsp;(2^ 3)^3 =2^14 × 2^ 9 nbsp; nbsp; nbsp; nbsp; nbsp; nbsp;[∵ (a^m)^n = a^mn] =2^14 9 nbsp; ...

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Power of a Power

272×2-33=

Question

$(2^{7})^{2} \times (2^{- 3})^{3}$ = ______

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Solution

The correct option is D 32
$(2^{7})^{2} \times (2^{- 3})^{3}$

$= 2^{14} \times 2^{- 9}$ $[∵ (a^{m})^{n} = a^{m n}]$

$= 2^{14 - 9}$ $[∵ a^{m} \times a^{n} = a^{m + n}]$

$= 2^{5}$

$= 32$

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