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Exponents in Fractions

Question 21In...

Question

Question 21

In the following question, out of the four options, only one is correct. Write the correct answer:

For a non-zero integer $x, x^{7} \div x^{12}$ is equal to:
(a) $x^{5}$
(b) $x^{19}$
(c) $x^{- 5}$
(d) $x^{- 19}$

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Solution

Using law of exponents , $a^{m} \div a^{n} = (a)^{m - n}$
Similarly, $x^{7} \div x^{12} = (x)^{7 - 12} = (x)^{- 5}$

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Exponents in Fractions

Standard VII Mathematics

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