What is (1/2 x^2y^3)^4(4x^5y^3)^2 ?

The solution to (1/2 x^2y^3)^4(4x^5y^3)^2 is x^{18}y^{18}

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simplify (1/2 x^2y^3)^4(4x^5y^3)^2

simplify

(\frac{1}{2} x^{2} y^{3})^{4} (4 x^{5} y^{3})^{2}

x^{18} y^{18}

Solution steps

(\frac{1}{2} x^{2} y^{3})^{4} (4 x^{5} y^{3})^{2}

Simplify

(\frac{1}{2} x^{2} y^{3})^{4} : \frac{x ^{8} y ^{12}}{16}

= \frac{x ^{8} y ^{12}}{16} (4 x^{5} y^{3})^{2}

Simplify

(4 x^{5} y^{3})^{2} : 16 x^{10} y^{6}

= \frac{x ^{8} y ^{12}}{16} \cdot 16 x^{10} y^{6}

Cross-cancel common factor:

16

= x^{8} y^{12} x^{10} y^{6}

Simplify

x^{8} x^{10} : x^{18}

= x^{18} y^{12} y^{6}

Simplify

y^{12} y^{6} : y^{18}

= x^{18} y^{18}

5 y - \frac{3}{5} = \frac{4}{5}

x^{2} = 15 x - 56

\frac{1}{4} (\frac{1}{4} - 1)

3 x - 5 \geq 5 x + 15

3 y^{2} = 60

What is (1/2 x^2y^3)^4(4x^5y^3)^2 ?
The solution to (1/2 x^2y^3)^4(4x^5y^3)^2 is x^{18}y^{18}