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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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) $\frac{1}{x}$
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Question 54

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

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:
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Question 51

$x^{m} + x^{m} = x^{2 m},$ where $x$ is a non-zero rational number and $m$ is a positive integer.

x

m < n

\frac{x^{n}}{x^{m}}

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