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Standard IX

Mathematics

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

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Question 14

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Question 12

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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, $x^{4} \div y^{4} = {(\frac{x}{y})}^{4} = (x \div y)^{4}$