What is (-(12x^6y^2z)^2)/((-6x^2y^2)) ?

The solution to (-(12x^6y^2z)^2)/((-6x^2y^2)) is 24x^{10}y^2z^2

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simplify (-(12x^6y^2z)^2)/((-6x^2y^2))

simplify

\frac{- ( 12 x ^{6} y ^{2} z ) ^{2}}{( - 6 x ^{2} y ^{2} )}

24 x^{10} y^{2} z^{2}

Solution steps

\frac{- ( 12 x ^{6} y ^{2} z ) ^{2}}{- 6 x ^{2} y ^{2}}

Simplify

(12 x^{6} y^{2} z)^{2} : 144 x^{12} y^{4} z^{2}

= \frac{- 144 x ^{12} y ^{4} z ^{2}}{- 6 x ^{2} y ^{2}}

Apply the fraction rule:

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

= \frac{144 x ^{12} y ^{4} z ^{2}}{6 x ^{2} y ^{2}}

Factor the number:

144 = 6 \cdot 24

= \frac{6 \cdot 24 x ^{12} y ^{4} z ^{2}}{6 x ^{2} y ^{2}}

Cancel the common factor:

6

= \frac{24 x ^{12} y ^{4} z ^{2}}{x ^{2} y ^{2}}

Simplify

\frac{x ^{12}}{x ^{2}} : x^{10}

= \frac{24 x ^{10} y ^{4} z ^{2}}{y ^{2}}

Simplify

\frac{y ^{4}}{y ^{2}} : y^{2}

= 24 x^{10} y^{2} z^{2}

64 a^{3}

m^{5} + n^{5}

y^{3} \cdot z \cdot y^{13} \cdot z^{8}

\frac{( 8 x ^{2} + 24 x )}{( x + 3 )}

(2 a^{2})^{4}

What is (-(12x^6y^2z)^2)/((-6x^2y^2)) ?
The solution to (-(12x^6y^2z)^2)/((-6x^2y^2)) is 24x^{10}y^2z^2