Simplify-iii x10y6- x3y-2

Simplify the given expression x^10y^6÷ x^3y^ 2 =x^10 3 y^6 ( 2) nbsp; nbsp; [∴ a^m÷ a^n=a^m n] =x^7 y^8 Hence, nbsp; nbsp;x^10y^6÷ x^3y^ 2=x^7 y^8 ...

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Byju's Answer

Standard VIII

Mathematics

Division of a Polynomial by a Monomial

Simplify:iii ...

Question

Simplify:

$(i i i)$ $x^{10} y^{6} \div x^{3} y^{- 2}$

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Solution

Simplify the given expression

$x^{10} y^{6} \div x^{3} y^{- 2}$

$= x^{10 - 3} y^{6 - (- 2)}$ $[∴ a^{m} \div a^{n} = a^{m - n}]$

$= x^{7} y^{8}$

Hence, $x^{10} y^{6} \div x^{3} y^{- 2}$ = $x^{7} y^{8}$ .

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