Question

14) Simplify
question

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Answer 1

$\frac{ {2}^{5} \times {2}^{8} }{ {2}^{4} \times {2}^{5} }$

$= \frac{ {(2 \times 2)}^{5 + 8} }{ {(2 \times 2)}^{4 + 5} }$

$= \frac{ {4}^{13} }{ {4}^{9} }$

$= \frac{4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4}{4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4}$

Here, 9 fours from below & above cancel each other....

Therefore,

$= {4}^{4}$

$= 256$

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