If x is any non-zero number and m - n- then xn-xm is

The correct option is C x^n m It is given that m lt; n So from the given expression x ^n/x^m = x^n m ...

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Exponents with Like Bases

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If $x$ is any non-zero number and $m < n$ , then $\frac{x^{n}}{x^{m}}$ is

\frac{1}{x^{m - n}}

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\frac{1}{x^{n - m}}

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x^{n - m}

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None of these

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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.

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}

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}}}

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}}

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

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