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Standard IX

Mathematics

Laws of Exponents for Real Numbers

Question 29 I...

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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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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,x4÷y4 is equal to: (a) (x÷y)0 (b) (x÷y)1 (c) (x÷y)4 (d) (x÷y)8

Using law of exponents,ambm=(ab)m=(a÷b)m Similarly, x4÷y4=(xy)4=(x÷y)4

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

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