Simplify: (ab)5÷(abc)5

Given: (ab)5÷(abc)5As per the law of exponents,am÷bm=ambm=abmTherefore, (ab)5÷(abc)5=(ab)5(abc)5=ababc5=(1c)5

Simplify: (ab)5÷(abc)5

Given: (ab)5÷(abc)5As per the law of exponents,am÷bm=ambm=abmTherefore, (ab)5÷(abc)5=(ab)5(abc)5=ababc5=(1c)5

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Simplify: ${(ab)}^{5} \div {(abc)}^{5}$

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${(\frac{1}{c})}^{5}$

${(\frac{1}{c})}^{10}$

${(\frac{1}{c})}^{4}$

$c^{4}$

answer is B.

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Detailed Solution

Given: ${(ab)}^{5} \div {(abc)}^{5}$

As per the law of exponents,

$a^{m} \div b^{m} = \frac{a^{m}}{b^{m}} = {(\frac{a}{b})}^{m}$

Therefore, ${(ab)}^{5} \div {(abc)}^{5} = \frac{{(ab)}^{5}}{{(abc)}^{5}} = {(\frac{ab}{abc})}^{5} = {(\frac{1}{c})}^{5}$

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Simplify: (ab)5÷(abc)5

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Simplify: ${(ab)}^{5} \div {(abc)}^{5}$