What is ((12x^8*y^3))/((-3x^2*y)) ?

The solution to ((12x^8*y^3))/((-3x^2*y)) is -4x^6y^2

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simplify ((12x^8y^3))/((-3x^2y))

simplify

\frac{( 12 x ^{8} \cdot y ^{3} )}{( - 3 x ^{2} \cdot y )}

- 4 x^{6} y^{2}

Solution steps

\frac{12 x ^{8} y ^{3}}{- 3 x ^{2} y}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{12 x ^{8} y ^{3}}{3 x ^{2} y}

Divide the numbers:

\frac{12}{3} = 4

= \frac{4 x ^{8} y ^{3}}{x ^{2} y}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

\frac{x ^{8}}{x ^{2}} = x^{8 - 2}

= \frac{4 y ^{3} x ^{8 - 2}}{y}

Subtract the numbers:

8 - 2 = 6

= \frac{4 x ^{6} y ^{3}}{y}

Cancel the common factor:

y

= - 4 x^{6} y^{2}

(b cos (a))^{2} + (b sin (a))^{2}

a^{5} - a^{3} \cdot b^{2} - a^{2} \cdot b^{3} + b^{5}

(\frac{8}{6} \cdot x^{3} + \frac{5}{11} \cdot y^{2})^{2}

1 x^{3} - 36 x y^{2} + 6 x - 216 y^{2}

50 \frac{m}{s ^{30}} \frac{m}{s} 160 m

What is ((12x^8*y^3))/((-3x^2*y)) ?
The solution to ((12x^8*y^3))/((-3x^2*y)) is -4x^6y^2