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Standard VII

Mathematics

Exponent Numbers with Different Base and Same Power

Question 22In...

Question

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) $x^{- 64}$

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Solution

Using law of exponents, $(a^{m})^{n} = (a)^{m \times n} = (a)^{m n}$
Similarly , $(x^{4})^{- 3} = (x)^{4 \times (- 3)} = (x)^{- 12}$

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Similar questions

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) $x^{- 19}$

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 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 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 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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Exponent Numbers with Different Base and Same Power

Standard VII Mathematics

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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,(x4)−3 is equal to: (a) x12 (b) x−12 (c) x64 (d) x−64

Using law of exponents,(am)n=(a)m×n=(a)mn Similarly ,(x4)−3=(x) 4 × (−3)=(x)−12

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) $x^{- 64}$

Using law of exponents, $(a^{m})^{n} = (a)^{m \times n} = (a)^{m n}$
Similarly , $(x^{4})^{- 3} = (x)^{4 \times (- 3)} = (x)^{- 12}$