What is ((x^4z^2)/(4y^5))((2x^3y^2)/(z^3))^2 ?

The solution to ((x^4z^2)/(4y^5))((2x^3y^2)/(z^3))^2 is (x^{10})/(yz^4)

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simplify ((x^4z^2)/(4y^5))((2x^3y^2)/(z^3))^2

simplify

(\frac{x ^{4} z ^{2}}{4 y ^{5}}) (\frac{2 x ^{3} y ^{2}}{z ^{3}})^{2}

\frac{x ^{10}}{y z ^{4}}

Solution steps

(\frac{x ^{4} z ^{2}}{4 y ^{5}}) (\frac{2 x ^{3} y ^{2}}{z ^{3}})^{2}

Apply rule:

(a) = a

(\frac{x ^{4} z ^{2}}{4 y ^{5}}) = \frac{x ^{4} z ^{2}}{4 y ^{5}}

= \frac{x ^{4} z ^{2}}{4 y ^{5}} (\frac{2 x ^{3} y ^{2}}{z ^{3}})^{2}

Simplify

(\frac{2 x ^{3} y ^{2}}{z ^{3}})^{2} : \frac{4 x ^{6} y ^{4}}{z ^{6}}

= \frac{x ^{4} z ^{2}}{4 y ^{5}} \cdot \frac{4 x ^{6} y ^{4}}{z ^{6}}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{x ^{4} z ^{2} \cdot 4 x ^{6} y ^{4}}{4 y ^{5} z ^{6}}

Cancel the common factor:

4

= \frac{x ^{4} z ^{2} x ^{6} y ^{4}}{y ^{5} z ^{6}}

Simplify

\frac{z ^{2}}{z ^{6}} : \frac{1}{z ^{4}}

= \frac{x ^{4} x ^{6} y ^{4}}{y ^{5} z ^{4}}

Simplify

\frac{y ^{4}}{y ^{5}} : \frac{1}{y}

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

Simplify

x^{4} x^{6} : x^{10}

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

3 (x - 2) + 4 x > 8 x - 5

5^{7}

3 x^{2} + 7 x - 12 = 0

∣ 5 x - 2 ∣ + 8 = 2

\frac{1}{2} - \frac{5}{9}

What is ((x^4z^2)/(4y^5))((2x^3y^2)/(z^3))^2 ?
The solution to ((x^4z^2)/(4y^5))((2x^3y^2)/(z^3))^2 is (x^{10})/(yz^4)