X a - y a -A- x-yaB- x - y a - aC- x ya-aD- xy a

The correct option is D (xy)^aFor any non zero integers x and y, x^a × nbsp; y^a =(xy)^a, where 'a' is any integer. For example, 10^ 2× nbsp; 3^ 2 =(10× 3) ...

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Byju's Answer

Standard VII

Mathematics

Dividing Terms with the Same Exponent

x a × y a =A....

Question

$x^{a} \times y^{a} =$ _____

(x y)^{a + a}

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(x y)^{a}

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(x + y)^{a}

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(x + y)^{a + a}

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Solution

The correct option is B $(x y)^{a}$
For any non-zero integers x and y,
$x^{a} \times y^{a} = (x y)^{a}$ ,
where 'a' is any integer.
For example,
$10^{- 2} \times 3^{- 2} = (10 \times 3)^{- 2} = 30^{- 2}$

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Similar questions

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and

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meets the co-ordinate axes at

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and

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, then the locus of the mid-point of line segment

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Q. Factorise:

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(x + y) (a + b) + (x - y) (a + b)

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\frac{{(x + \frac{1}{y})}^{a} \times {(x - \frac{1}{y})}^{b}}{{(y + \frac{1}{x})}^{a} \times {(y - \frac{1}{x})}^{b}}

reduces to

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xa×ya= _____

The correct option is B (xy)aFor any non-zero integers x and y, xa×ya=(xy)a, where 'a' is any integer. For example, 10−2×3−2=(10×3)−2=30−2

$x^{a} \times y^{a} =$ _____

The correct option is B $(x y)^{a}$
For any non-zero integers x and y,
$x^{a} \times y^{a} = (x y)^{a}$ ,
where 'a' is any integer.
For example,
$10^{- 2} \times 3^{- 2} = (10 \times 3)^{- 2} = 30^{- 2}$