Question

Someone help me i really need this ​

Answer 1

Answer:

$(2x^{2} )(3x^{6} ) = 6x^{8}$

$\frac{25x^{6} y^{6} }{5x^{4} y^{3}} = 5 x^{2} y^{3}$

Step-by-step explanation:

$(2x^{2} )(3x^{6} )$

$6x^{2} x^{6}$

When same variables are multiplied their powers are added

$6x^{2+6}$

$6x^{8}$

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$\frac{25x^{6} y^{6} }{5x^{4} y^{3}}$

We know $\frac{1}{x^{4} } = x^{-4}$ and $\frac{1}{y^{3} } = y^{-3}$

$\frac{25}{5} \ \frac{x^{6} }{ x^{4} } \ \frac{y^{6} }{y^{3}}$

$5 \ x^{6} x^{-4} } \ y^{6} {y^{-3}$

When same variables are multiplied their powers are added

$5 \ x^{6-4} \ y^{6-3}$

$5 \ x^{2} \ y^{3}$