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Exponents and Powers — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSExponents and Powers2 Marks
Question
Express the following numbers using exponential notations:$\frac{144}{875}$
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Answer

For solving these type of question, we use prime factorisation method.
Given, $\frac{144}{875}$
$\begin{array}{c|c} 2 &144 \\ \hline2 &72 \\ \hline2 &36 \\ \hline 2 & 18 \\ \hline 3 & 9 \\ \hline 3 & 3 \\ \hline & 1 \end{array}$
$\begin{array}{c|c} 5 & 875 \\ \hline 5 & 175 \\ \hline 5 & 35 \\ \hline 7 & 7 \\ \hline & 1 \end{array}$
Using prime factorisatin of $144$ and $875$, we have
$\frac{144}{875}=\frac{2\times2\times2\times2\times3\times3}{5\times5\times5\times7}=\frac{2^{4}\times3^{2}}{5^{3}\times7^{1}}$

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