For any two non-zero rational numbers x and y- x-5 - y-5 is equal to -a- -x-y-1 -b- -x-y-0 -c- -x-y-5 -d- -x-y-10 - Maths Q-A

Compute the required valueAccording to the law of exponents, 𝑎^𝐦÷𝑏^𝐦=(a÷b)^𝐦∴x^5÷y^5=(x÷y)^5Hence, the correct option is option C. ...

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Standard VII

Mathematics

Quotient Law

For any two n...

Question

For any two non-zero rational numbers $x$ and $y$ , $x^{5} \div y^{5}$ is equal to:

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

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

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${(x \div y)}^{5}$

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${(x \div y)}^{10}$

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Solution

The correct option is C
${(x \div y)}^{5}$

Compute the required value
According to the law of exponents, $a^{m} \div b^{m} = {(a \div b)}^{m}$
$∴ x^{5} \div y^{5} = {(x \div y)}^{5}$
Hence, the correct option is option C.

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Similar questions

For any two non-zero rational numbers a and b, $a^{5} \times b^{5}$ is equal to

Q. For any two non-zero rational numbers a and b, a⁴ ÷ b⁴ is equal to
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(b) (a ÷ b)⁰
(c) (a ÷ b)⁴
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Question 4

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

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

Q. For any two non-zero rational numbers a and b, a⁴ ÷ b⁴ is equal to
(a) (a ÷ b)¹
(b) (a ÷ b)⁰
(c) (a ÷ b)⁴
(d) (a ÷ b)⁸

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For any two non-zero rational numbers x and y, x5÷y5is equal to:

The correct option is C x÷y5Compute the required valueAccording to the law of exponents, am÷bm=(a÷b)m∴x5÷y5=x÷y5Hence, the correct option is option C.

For any two non-zero rational numbers $x$ and $y$ , $x^{5} \div y^{5}$ is equal to:

The correct option is C
${(x \div y)}^{5}$

Compute the required value
According to the law of exponents, $a^{m} \div b^{m} = {(a \div b)}^{m}$
$∴ x^{5} \div y^{5} = {(x \div y)}^{5}$
Hence, the correct option is option C.