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Exponents with like Bases

In the follow...

Question

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) $x^{(m - n)}$

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Solution

Using law of exponents, $a^{m} \times a^{n} = (a)^{m + n} S i m i l a r l y, x^{m} \times x^{n} = (x)^{m + n}$

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Similar questions

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 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

Question 54

$x^{m} \times x^{n} = x^{m + n},$ where $x$ is a non-zero rational number and $m, n$ are positive integers.

$(x^{m})^{n}$ is equal to:

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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Exponents with like Bases

Standard VIII Mathematics

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