3 years ago

Need help fast! does anyone know how to do this?

Mathematics

1 answer:

Liono4ka [1.6K]3 years ago

3 0

Answer:

$x^{12}$ $y^{6}$

Step-by-step explanation:

( $x^{4}$ $y^{2}$ ) $^{3}$

Multiply the exponents by 3

= $x^{4x3}$ $y^{2x3}$

= $x^{12}$ $y^{6}$

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$\bf \qquad \qquad \textit{direct proportional variation}
\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------$

$\bf \textit{f(x) varies directly with }x^2\qquad f(x)=kx^2
\\\\\\
\textit{we also know that }
\begin{cases}
f(x)=96\\
x=4
\end{cases}\implies 96=k(4)^2\implies 96=16k
\\\\\\
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\\\\\\
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3 years ago

Need help fast! does anyone know how to do this? ​

Need help fast! does anyone know how to do this?