What is (2xy)(3x^2y^3)(y)^3 ?

The solution to (2xy)(3x^2y^3)(y)^3 is 6x^3y^7

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simplify (2xy)(3x^2y^3)(y)^3

simplify

(2 x y) (3 x^{2} y^{3}) (y)^{3}

6 x^{3} y^{7}

Solution steps

(2 x y) (3 x^{2} y^{3}) (y)^{3}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x x^{2} = x^{1 + 2}

= 2 y \cdot 3 x^{1 + 2} y^{3} y^{3}

Add the numbers:

1 + 2 = 3

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

y y^{3} y^{3} = y^{1 + 3 + 3}

= 2 \cdot 3 x^{3} y^{1 + 3 + 3}

Add the numbers:

1 + 3 + 3 = 7

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

Multiply the numbers:

2 \cdot 3 = 6

= 6 x^{3} y^{7}

2 x^{4} \cdot e^{- 2 x}

\frac{- 54}{27}

(3 a^{3}) (4 a^{5})

(2 a - 3 b)^{2} (2 a + 3 b)^{2}

\frac{s ^{3}}{( s ^{2} + 4 ) ^{3}}