Question

Please answer question number 11

Answer 1

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Here's your answer...

0.2316 can be written as
$\frac{2316}{10000}$
Since the number is now expressed in the form asked in the question, we can see that by comparison, p=2316 and
${2}^{n} \times {5}^{m} = 10000$
10000 can be written as
$2 \times 2 \times 2 \times 2 \times 5 \times 5 \times 5 \times 5 \\ = {2}^{4} \times {5}^{4}$
So, again by comparison, we see that m = 4 and n = 4

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