The correct option is C =n Given that: x^m=x^n ∵ bases are equal in both sides, #160; ∴ on comparing the powers, we have ⇒ m=n . ...

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Powers and Exponents

xm=xn⇒ m =

Question

$x^{m} = x^{n} \Rightarrow m =$

> n

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= n

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< n

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Solution

The correct option is C $= n$
Given that:
$x^{m} = x^{n}$
$∵$ bases are equal in both sides,
$∴$ on comparing the powers, we have
$\Rightarrow m = n$ .

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Similar questions

y = \frac{1}{1 + x^{n - m} + x^{p - m}} + \frac{1}{1 + x^{m - n} + x^{p - n}} + \frac{1}{1 + x^{m - p} + x^{n - p}}

\frac{d y}{d x}

x = e^{m^{n p}}

y = \frac{1}{1 + x^{n - m} + x^{p - m}} + \frac{1}{1 + x^{m - n} + x^{p - n}} + \frac{1}{1 + x^{m - p} + x^{n - p}}, t h e n \frac{d y}{d x}

x^{m}

{(1 + x)}^{m} + {(1 + x)}^{m + 1} + . . . . + {(1 + x)}^{n}, m \leq n

The coefficient of $x^{m}$ in $(1 + x)^{m} + (1 + x)^{m + 1} + . . . . . + (1 + x)^{n}$ , m £ n is

y = \frac{1}{1 + x^{n - m} + x^{p - m}} + \frac{1}{1 + x^{m - n} + x^{p - n}} + \frac{1}{1 + x^{m - p} + x^{n - p}}

\frac{d y}{d x}

e^{m^{n^{p}}}

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