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Exponents with Like Bases

xm× xn=xm+n, ...

Question

Question 54

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

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Solution

True
If $x$ is a rational number and $m$ and $n$ are positive integers, then
$x^{m} \times x^{n} = x^{m + n}$

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Similar questions

Question 51

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

Question 52

$x^{m} \times y^{m} = (x \times y)^{2 m},$ where $x$ and $y$ are non-zero rational numbers and $m$ is a positive integer.

$x^{m} \div y^{m} = (x \div y)^{m},$ where $x$ and $y$ are non-zero rational numbers and $m$ is a positive integer.

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

x

is any non-zero number and

m < n

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

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Exponents with Like Bases

Standard VII Mathematics

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