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Laws of Exponents for Real Numbers

Question 29 I...

Question

Question 29

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

For any two non-zero rational numbers x and $y, x^{4} \div y^{4}$ is equal to:

(a) $(x \div y)^{0}$

(b) $(x \div y)^{1}$

(c) $(x \div y)^{4}$

(d) $(x \div y)^{8}$

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Solution

Using law of exponents, $\frac{a^{m}}{b^{m}} = {(\frac{a}{b})}^{m} = (a \div b)^{m}$
Similarly, $x^{4} \div y^{4} = {(\frac{x}{y})}^{4} = (x \div y)^{4}$

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Laws of Exponents for Real Numbers

Standard IX Mathematics

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