Question

This is an Indices question. Step by Step Explanation needed
$( {x}^{2}. {y}^{5} \div x. {y}^{2})$
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Answer 1

Step-by-step explanation:

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Answer 2

$\huge \star \; \bf \underbrace {ANSWER} \: \star$

‣ Given :

$\sf {(x^{2}y^{5} ÷ xy^{2})}$

‣ To Find :

$\textsf {The resultant value}$

‣ Identity :

$\longrightarrow$ $\sf {a^{m} ÷ a^{n} = a^{m-n}}$

‣ Solution :

→ $\sf {(x^{2}y^{5} ÷ xy^{2})}$

$\sf {= \frac{x^{2}y^{5}}{xy^{2}}}$

$\sf {= \frac{x^{2}}{x} × \frac{y^{5}}{y^{2}}}$

$\sf {= x^{2-1} × y^{5-2}}$

$\sf {= x^{1} × y^{3}}$

$\sf {= xy^{3}}$

$\implies \sf {\underline {Hence, \: the \: answer \: is \: xy^{3}.}}$

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