- x - y is equal toA- 1-xyB- X yC- 1-xyD- x-y

The correct option is A 1/( x)^yFor any non zero integer 'a', a^ m=1/a^m, where 'm' is a positive integer. Comparing the given expression ( x)^ y with the LHS ...

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Byju's Answer

Standard VII

Mathematics

Powers with Positive and Negative Exponents

- x - y is eq...

Question

$(- x)^{- y}$ is equal to

\frac{1}{(x)^{y}}

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\frac{1}{(- x)^{y}}

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x^{y}

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x^{- y}

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Solution

The correct option is B $\frac{1}{(- x)^{y}}$
For any non-zero integer 'a',
$a^{- m} = \frac{1}{a^{m}}$ ,
where 'm' is a positive integer.

Comparing the given expression $(- x)^{- y}$ with the LHS of the above equation,
$a = - x$ and $m = y$ .

Then, $(- x)^{- y} = \frac{1}{(- x)^{y}}$

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Similar questions

When simplified $(x^{- 1} + y^{- 1})^{- 1}$ is equal to

Q. The quotient of x by y added ot the product of x and y is written as

(a)

\frac{x}{y} + x y

(b)

\frac{y}{x} + x y

(c)

\frac{x y + x}{y}

(d)

\frac{x y + y}{x}

Q. When simplified

(x^{- 1} + y^{- 1})^{- 1}

is equal to

(a) xy

(b) x+y

(c)

\frac{x y}{x + y}

(d)

\frac{x + y}{x y}

Q. Let

A

and

B

be two symmetric matrices of same order. If

X = A B + B A

and

Y = A B - B A,

then

(X Y)^{T}

is equal to

Q. If x and y are two co-primes, then their LCM is

(a) xy
(b) x+y
(c)

\frac{x}{y}

(d) 1

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(−x)−y is equal to

The correct option is B 1(−x)yFor any non-zero integer 'a', a−m=1am, where 'm' is a positive integer. Comparing the given expression (−x)−y with the LHS of the above equation, a=−x and m=y. Then, (−x)−y=1(−x)y

$(- x)^{- y}$ is equal to

The correct option is B $\frac{1}{(- x)^{y}}$
For any non-zero integer 'a',
$a^{- m} = \frac{1}{a^{m}}$ ,
where 'm' is a positive integer.

Comparing the given expression $(- x)^{- y}$ with the LHS of the above equation,
$a = - x$ and $m = y$ .

Then, $(- x)^{- y} = \frac{1}{(- x)^{y}}$