Question

Write the denominator of the rational number 129/2^2 ∗5^5 in the form 2mx5nwhere m, n are non- negative integers. Hence, write its decimal expansion, without actual division.

Answer 1

Answer:

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$\frac{129}{ {2}^{2} \times {5}^{5} }$

$\large\bold\red{multiply \: and \: divide \: by \: {2}^{3} }$

$= \frac{129 \times {2}^{3} }{ {2}^{2} \times {5}^{5} \times {2}^{3} }$

$= \frac{129 \times 8}{ {2}^{5} \times {5}^{5} }$

$= \frac{1032}{ {(2 \times 5)}^{5} }$

$= \frac{1032}{ {10}^{5} }$

$= \frac{1032}{100000}$

$= 0.01032$

Answer 2

Step-by-step explanation:

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