X-m is equal to A- x mB- - X mC- 1-xmD- -1- x m

The correct option is C 1/x^m Using law of exponents, a^ m = 1/a^m Similarly ,x^ m = 1/x^m ...

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Standard IX

Mathematics

Powers with Positive and Negative Exponents

x-m is equal ...

Question

$x^{- m}$ is equal to

$x^{m}$

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$- x^{m}$

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$\frac{1}{x^{m}}$

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

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Solution

The correct option is C
$\frac{1}{x^{m}}$

Using law of exponents, $a^{- m} = \frac{1}{a^{m}}$
Similarly , $x^{- m} = \frac{1}{x^{m}}$

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Similar questions

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

Q. If

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}

is equal to

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

is equal to ______________________.

Q. If

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}}

then

\frac{d y}{d x}

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

is equal to

X^m = Yⁿ = Z^q, XYZ = 1 and m is not equal to 0, then find 1/m + 1/n + 1/p

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x−m is equal to

The correct option is C 1xm Using law of exponents, a−m=1am Similarly ,x−m=1xm

$x^{- m}$ is equal to

The correct option is C
$\frac{1}{x^{m}}$

Using law of exponents, $a^{- m} = \frac{1}{a^{m}}$
Similarly , $x^{- m} = \frac{1}{x^{m}}$