Simplify- x2- y2- x5- y3

The correct option is A x^7 y^5x^2× y^2× x^5× y^3 = nbsp;x^2 × x^5 × y^2× nbsp; y^3 = x^2+5× y^2+3 [∵For integers m, n and a (a≠ 0), a^m× a^n = a^m+n] ...

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Byju's Answer

Standard VIII

Mathematics

Product Law

Simplify: x2×...

Question

Simplify: $x^{2} \times y^{2} \times x^{5} \times y^{3}$

x^{7} y^{5}

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x^{7} y^{7}

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x^{5} y^{5}

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x^{5} y^{7}

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Solution

The correct option is A $x^{7} y^{5}$
$x^{2} \times y^{2} \times x^{5} \times y^{3} = x^{2} \times x^{5} \times y^{2} \times y^{3} = x^{2 + 5} \times y^{2 + 3} [∵ For integers m, n and a (a \neq 0), a^{m} \times a^{n} = a^{m + n}] = x^{7} \times y^{5} = x^{7} y^{5}$

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Similar questions

Q. Simplify:

(x^{5} \div x^{2}) \times y^{2} \times y^{3}

, then answer is

x^{3} y^{5}

If true then enter

1

and if false then enter

0

Q. Simplify:

[\frac{x^{3} + y^{3}}{{(x - y)}^{2} + 3 x y}] \div [\frac{{(x + y)}^{2} - 3 x y}{x^{3} - y^{3}}] \times \frac{x y}{x^{2} - y^{2}}

Q. Simplify:

[\frac{x^{3} + y^{3}}{(x - y)^{2} + 3 x y}] + [\frac{(x + y)^{2} - 3 x y}{x^{3} - y^{3}}] \times \frac{x y}{x^{2} - y^{2}}

Q. Simplify :-

\frac{8 (x^{3} y^{2} z^{2} + x^{2} y^{3} z^{2} + x^{2} y^{2} z^{3})}{4 x^{2} y^{2} z^{2}}

Q. Simplify the expression :

[\frac{x^{3} + y^{3}}{{(x - y)}^{2} + 3 x y}] \div [\frac{{(x + y)}^{2} - 3 x y}{x 3 - y^{3}}] \times \frac{x y}{x^{2} - y^{2}}

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Simplify: x2×y2×x5×y3

The correct option is A x7y5x2×y2×x5×y3=x2×x5×y2×y3=x2+5×y2+3[∵For integers m, n and a (a≠0),am×an=am+n]=x7×y5=x7y5

Simplify: $x^{2} \times y^{2} \times x^{5} \times y^{3}$

The correct option is A $x^{7} y^{5}$
$x^{2} \times y^{2} \times x^{5} \times y^{3} = x^{2} \times x^{5} \times y^{2} \times y^{3} = x^{2 + 5} \times y^{2 + 3} [∵ For integers m, n and a (a \neq 0), a^{m} \times a^{n} = a^{m + n}] = x^{7} \times y^{5} = x^{7} y^{5}$