Question 4 For any non-zero rational numbers x and y - x 5- y 5 is equal toa x - y1b x - y 0c x - y5d x - y10

Name: EXEMP - Grade 07 - Mathematics - Exponents & Powers - Q4
Uploaded: 2022-07-04T10:36:42+05:30
Description: Given, x^5÷ y^5=x^5/y^5 As we know, p^n/q^n= ( p/q )^n Thus, x^5/y^5= ( x/y )^5=(x ÷ y)^5 ...

Given, x^5÷ y^5=x^5/y^5 As we know, p^n/q^n= ( p/q )^n Thus, x^5/y^5= ( x/y )^5=(x ÷ y)^5 ...

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Standard VIII

Mathematics

Rational Numbers

Question 4 Fo...

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Question 4

For any non-zero rational numbers $x$ and $y$ , $x^{5} \div y^{5}$ is equal to
(a) $(x \div y)^{1}$
(b) $(x \div y)^{0}$
(c) $(x \div y)^{5}$
(d) $(x \div y)^{10}$

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Solution

Given, $x^{5} \div y^{5} = \frac{x^{5}}{y^{5}} As we know, \frac{p^{n}}{q^{n}} = {(\frac{p}{q})}^{n} Thus, \frac{x^{5}}{y^{5}} = {(\frac{x}{y})}^{5} = (x \div y)^{5}$

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Rational Numbers

Standard VIII Mathematics

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Question 4 For any non-zero rational numbers x and y, x5÷y5 is equal to (a) (x÷y)1 (b) (x÷y)0 (c) (x÷y)5 (d) (x÷y)10

Given, x5÷y5=x5y5As we know, pnqn=(pq)nThus, x5y5=(xy)5=(x÷y)5

Question 4

For any non-zero rational numbers $x$ and $y$ , $x^{5} \div y^{5}$ is equal to
(a) $(x \div y)^{1}$
(b) $(x \div y)^{0}$
(c) $(x \div y)^{5}$
(d) $(x \div y)^{10}$

Given, $x^{5} \div y^{5} = \frac{x^{5}}{y^{5}} As we know, \frac{p^{n}}{q^{n}} = {(\frac{p}{q})}^{n} Thus, \frac{x^{5}}{y^{5}} = {(\frac{x}{y})}^{5} = (x \div y)^{5}$