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Popular >

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

Solution

simplify

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

Solution

12 x^{5} y^{3}

Solution steps

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

Apply exponent rule:

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

x^{2} x^{3} = x^{2 + 3}

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

Add the numbers:

2 + 3 = 5

= 3 y \cdot 4 x^{5} y^{2}

Apply exponent rule:

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

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

= 3 \cdot 4 x^{5} y^{1 + 2}

Add the numbers:

1 + 2 = 3

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

Multiply the numbers:

3 \cdot 4 = 12

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

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Frequently Asked Questions (FAQ)

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