What is simplify-2xy^3(6x^2y^2) ?

The solution to simplify-2xy^3(6x^2y^2) is -12x^3y^5

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simplify-2xy^3(6x^2y^2)

simplify

- 2 x y^{3} (6 x^{2} y^{2})

- 12 x^{3} y^{5}

Solution steps

- 2 x y^{3} (6 x^{2} y^{2})

Apply exponent rule:

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

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

= - 2 y^{3} \cdot 6 x^{1 + 2} y^{2}

Add the numbers:

1 + 2 = 3

= - 2 y^{3} \cdot 6 x^{3} y^{2}

Apply exponent rule:

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

y^{3} y^{2} = y^{3 + 2}

= - 2 \cdot 6 x^{3} y^{3 + 2}

Add the numbers:

3 + 2 = 5

= - 2 \cdot 6 x^{3} y^{5}

Multiply the numbers:

2 \cdot 6 = 12

= - 12 x^{3} y^{5}

e^{- 38}

(3 - \frac{x ^{2}}{2})^{- 3}

2 7^{x + 2}

(\frac{4 e ^{4}}{3 e ^{- 2} e ^{3}})^{- 2}

2 x \cdot 5 x \cdot 3 x

What is simplify-2xy^3(6x^2y^2) ?
The solution to simplify-2xy^3(6x^2y^2) is -12x^3y^5