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Standard VII

Mathematics

Division of Exponents Having the Same Base

If x be any i...

Question

If $x$ be any integer different from zero and $m$ be any positive integer, then $x^{- m}$ is equal to

x^{m}

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

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

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- x^{m}

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Solution

The correct option is B $\frac{1}{x^{m}}$
Using laws of exponents,

$a^{- m} = \frac{1}{a^{m}}$ [When $a \neq 0$ ]

Similarity, $x^{- m} = \frac{1}{x^{m}}$

Hence, the correct option is (C).

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Division of Exponents Having the Same Base

Standard VII Mathematics

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If x be any integer different from zero and m be any positive integer, then x−m is equal to

The correct option is B 1xmUsing laws of exponents, a−m=1am [When a≠0] Similarity, x−m=1xm Hence, the correct option is (C).

If $x$ be any integer different from zero and $m$ be any positive integer, then $x^{- m}$ is equal to

The correct option is B $\frac{1}{x^{m}}$
Using laws of exponents,

$a^{- m} = \frac{1}{a^{m}}$ [When $a \neq 0$ ]

Similarity, $x^{- m} = \frac{1}{x^{m}}$

Hence, the correct option is (C).