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Popular Algebra >

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

Solution

simplify

(- 2 x^{2} y)^{2} \cdot (- 3 x y^{3})

Solution

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

Solution steps

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

Apply rule:

a (- b) = - ab

(- 2 x^{2} y)^{2} (- 3 x y^{3}) = - (- 2 x^{2} y)^{2} \cdot 3 x y^{3}

= - (- 2 x^{2} y)^{2} \cdot 3 x y^{3}

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

Simplify

(- 2 x^{2} y)^{2} : 4 x^{4} y^{2}

= - 3 x \cdot 4 x^{4} y^{2} y^{3}

Multiply the numbers:

- 3 \cdot 4 = - 12

= - 12 x x^{4} y^{2} y^{3}

Simplify

x x^{4} : x^{5}

= - 12 x^{5} y^{2} y^{3}

Simplify

y^{2} y^{3} : y^{5}

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

Popular Examples

factor m^2+6m+5

3(3x+2)-2(3x-3)-4x=10

Frequently Asked Questions (FAQ)

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

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