For any two non-zero rational numbers x and y- x-4 - y-4 is equal to -a- -x - y-0 -b- -x - y-1 -c- -x - y-4 -d- -x - y-8 - Maths Q-A

Explanation for the correct option:According to the law of exponents, 𝑎^𝐦÷𝑏^𝐦=(a÷b)^𝐦.∴x^4÷y^4=(x÷y)^4Hence, the correct option is option C. ...

142

You visited us 142 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VII

Mathematics

Quotient Law

For any two n...

Question

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

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

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

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C
${(x \div y)}^{4}$

Explanation for the correct option:
According to the law of exponents, $a^{m} \div b^{m} = {(a \div b)}^{m}$ .
$∴ x^{4} \div y^{4} = {(x \div y)}^{4}$
Hence, the correct option is option C.

Suggest Corrections

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
(a) (a ÷ b)¹
(b) (a ÷ b)⁰
(c) (a ÷ b)⁴
(d) (a ÷ b)⁸

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

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

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

Join BYJU'S Learning Program

For any two non-zero rational numbers x and y, x4÷y4is equal to:

The correct option is C x÷y4Explanation for the correct option:According to the law of exponents, am÷bm=(a÷b)m.∴x4÷y4=x÷y4Hence, the correct option is option C.

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

The correct option is C
${(x \div y)}^{4}$

Explanation for the correct option:
According to the law of exponents, $a^{m} \div b^{m} = {(a \div b)}^{m}$ .
$∴ x^{4} \div y^{4} = {(x \div y)}^{4}$
Hence, the correct option is option C.