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Popular >

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

Solution

simplify

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

Solution

12 x^{3} y^{5}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 1 = 3

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 3 = 5

= 4 \cdot 3 x^{3} y^{5}

Multiply the numbers:

4 \cdot 3 = 12

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

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Frequently Asked Questions (FAQ)

What is (4x^2y^2)(3xy^3) ?
The solution to (4x^2y^2)(3xy^3) is 12x^3y^5