Mathematics: Simplify the expression as much as possible. (2x^4y 3)-1 Once simplified, that is the exponent on y ?

Simplify the expression as much as possible. (2x^4y

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21marmong

16.05.2022

let's firstly convert the mixed fraction to improper fraction.

$\bf \stackrel{mixed}{10\frac{2}{3}}\implies \cfrac{10\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{32}{3}} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{4}~,~\stackrel{y_1}{-\frac{32}{3}})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-\left( -\frac{32}{3} \right)}{-3-4}\implies \cfrac{1+\frac{32}{3}}{-7}\implies \cfrac{\frac{3+32}{3}}{-7}$

$\bf \cfrac{~~\frac{35}{3}~~}{\frac{-7}{1}} \implies \cfrac{\stackrel{5}{~~\begin{matrix} 35 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}~~}{3}\cdot \cfrac{1}{~~\begin{matrix} -7 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies -\cfrac{5}{3}$

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Simplify the expression as much as possible. (2x^4y 3)-1
Once simplified, that is the exponent on "y"?

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Simplify the expression as much as possible. (2x^4y 3)-1 Once simplified, that is the exponent on "y"?

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Simplify the expression as much as possible. (2x^4y 3)-1
Once simplified, that is the exponent on "y"?