What is simplify-3x^2y^2(4xy) ?

The solution to simplify-3x^2y^2(4xy) is -12x^3y^3

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simplify-3x^2y^2(4xy)

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

= - 3 y^{2} \cdot 4 x^{2 + 1} y

Add the numbers:

2 + 1 = 3

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

Apply exponent rule:

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

y^{2} y = y^{2 + 1}

= - 3 \cdot 4 x^{3} y^{2 + 1}

Add the numbers:

2 + 1 = 3

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

Multiply the numbers:

3 \cdot 4 = 12

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

(3 x^{4}) (\frac{1}{12} x^{2})

(4 x^{3} y^{5}) (3 x^{2} y^{3})

- 60.656 e^{- 0.0892 \cdot 5}

e^{- 2136}

What is simplify-3x^2y^2(4xy) ?
The solution to simplify-3x^2y^2(4xy) is -12x^3y^3