What is ((2x^3)^2(3y^4)^3)/(12x^4y^5) ?

The solution to ((2x^3)^2(3y^4)^3)/(12x^4y^5) is 9x^2y^7

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simplify ((2x^3)^2(3y^4)^3)/(12x^4y^5)

simplify

\frac{( 2 x ^{3} ) ^{2} ( 3 y ^{4} ) ^{3}}{12 x ^{4} y ^{5}}

9 x^{2} y^{7}

Solution steps

\frac{( 2 x ^{3} ) ^{2} ( 3 y ^{4} ) ^{3}}{12 x ^{4} y ^{5}}

Simplify

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

= \frac{2 ^{2} x ^{6} ( 3 y ^{4} ) ^{3}}{12 x ^{4} y ^{5}}

Factor

12 : 2^{2} \cdot 3

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

Cancel the common factor:

2^{2}

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

Simplify

\frac{x ^{6}}{x ^{4}} : x^{2}

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

Simplify

(3 y^{4})^{3} : 3^{3} y^{12}

= \frac{x ^{2} \cdot 3 ^{3} y ^{12}}{3 y ^{5}}

\frac{3 ^{3}}{3} = 3^{2}

= \frac{x ^{2} \cdot 3 ^{2} y ^{12}}{y ^{5}}

Simplify

\frac{y ^{12}}{y ^{5}} : y^{7}

= x^{2} \cdot 3^{2} y^{7}

3^{2} = 9

= 9 x^{2} y^{7}

26 \cdot 53

28 x^{3} + 20 x^{2} + 14 x + 10

4.5 + 1.5 k = 18 - 3 k

3 x = 2 x + 6

(5 x - 4)^{2} + 3 x (5 x - 4)

What is ((2x^3)^2(3y^4)^3)/(12x^4y^5) ?
The solution to ((2x^3)^2(3y^4)^3)/(12x^4y^5) is 9x^2y^7