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Standard VIII

Mathematics

Exponents with like Bases

In the follow...

Question

Question 21

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

For a non-zero integer $x, x^{7} \div x^{12}$ is equal to:
(a) $x^{5}$
(b) $x^{19}$
(c) $x^{- 5}$
(d) $x^{- 19}$

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Solution

Using law of exponents , $a^{m} \div a^{n} = (a)^{m - n}$
Similarly, $x^{7} \div x^{12} = (x)^{7 - 12} = (x)^{- 5}$

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Similar questions

Question 22

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

For a non-zero integer x, $(x^{4})^{- 3}$ is equal to:
(a) $x^{12}$
(b) $x^{- 12}$
(c) $x^{64}$
(d) $x^{- 64}$

Question 14

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

If x be any non-zero integer, then $x^{- 1}$ is equal to:
(a) x
(b) $\frac{1}{x}$
(c) -x
(d) $\frac{- 1}{x}$

Question 12

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

If x be any non-zero integer and m,n be negative integers, then $x^{m} \times x^{n}$ is equal to:
(a) $x^{m}$
(b) $x^{(m + n)}$
(c) $x^{n}$
(d) $x^{(m - n)}$

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 13

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

If y be any non-zero integer, then $y^{0}$ is equal to:
(a) 1
(b) 0
(c) -1
(d) Not defined

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Exponents with like Bases

Standard VIII Mathematics

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Question 21 In the following question, out of the four options, only one is correct. Write the correct answer: For a non-zero integer x,x7÷x12 is equal to: (a) x5 (b) x19 (c) x−5 (d) x−19

Using law of exponents , am÷an=(a)m−n Similarly,x7÷x12=(x)7−12=(x)−5

Question 21

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

For a non-zero integer $x, x^{7} \div x^{12}$ is equal to:
(a) $x^{5}$
(b) $x^{19}$
(c) $x^{- 5}$
(d) $x^{- 19}$

Using law of exponents , $a^{m} \div a^{n} = (a)^{m - n}$
Similarly, $x^{7} \div x^{12} = (x)^{7 - 12} = (x)^{- 5}$