What is ((6x^2y^3)^2)/(4x^2y^5) ?

The solution to ((6x^2y^3)^2)/(4x^2y^5) is 9x^2y

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simplify ((6x^2y^3)^2)/(4x^2y^5)

simplify

\frac{( 6 x ^{2} y ^{3} ) ^{2}}{4 x ^{2} y ^{5}}

9 x^{2} y

Solution steps

\frac{( 6 x ^{2} y ^{3} ) ^{2}}{4 x ^{2} y ^{5}}

Simplify

(6 x^{2} y^{3})^{2} : 36 x^{4} y^{6}

= \frac{36 x ^{4} y ^{6}}{4 x ^{2} y ^{5}}

Factor the number:

36 = 4 \cdot 9

= \frac{4 \cdot 9 x ^{4} y ^{6}}{4 x ^{2} y ^{5}}

Cancel the common factor:

4

= \frac{9 x ^{4} y ^{6}}{x ^{2} y ^{5}}

Simplify

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

= \frac{9 x ^{2} y ^{6}}{y ^{5}}

Simplify

\frac{y ^{6}}{y ^{5}} : y

= 9 x^{2} y

1000 = 800 (1 + \frac{r}{100})

5 \cdot 1 0^{- 3}

\frac{80 i}{3 + i}

8 - 4

t^{2} - 4 t + 4 = 0

What is ((6x^2y^3)^2)/(4x^2y^5) ?
The solution to ((6x^2y^3)^2)/(4x^2y^5) is 9x^2y