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Exponents with Like Bases

e Simplify an...

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Question 84 (e)

Simplify and express each of the following in exponential form.
$[{(\frac{3}{5})}^{3} \times {(\frac{3}{5})}^{8}] \div [{(\frac{3}{5})}^{2} \times {(\frac{3}{5})}^{4}]$

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Solution

$[{(\frac{3}{5})}^{3} \times {(\frac{3}{5})}^{8}] \div [{(\frac{3}{5})}^{2} \times {(\frac{3}{5})}^{4}] = {(\frac{3}{5})}^{3 + 8} \div {(\frac{3}{5})}^{2 + 4} = {(\frac{3}{5})}^{11} \div {(\frac{3}{5})}^{6} = \frac{(\frac{3}{5})}{{(\frac{3}{5})}^{6}} = {(\frac{3}{5})}^{11 - 6} = {(\frac{3}{5})}^{5}$

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Simplify and express each fo the following in exponential form.
$[{(\frac{3}{7})}^{4} \times {(\frac{3}{7})}^{5}] \div {(\frac{3}{7})}^{7}$

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Simplify and express each of the following in exponential form:
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Exponents with Like Bases

Standard VII Mathematics

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