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Popular >

simplify (3x^2y)(9xy)

Solution

simplify

(3 x^{2} y) (9 x y)

Solution

27 x^{3} y^{2}

Solution steps

(3 x^{2} y) (9 x y)

Apply exponent rule:

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

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

= 3 y \cdot 9 x^{2 + 1} y

Add the numbers:

2 + 1 = 3

= 3 y \cdot 9 x^{3} y

Apply exponent rule:

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

yy = y^{1 + 1}

= 3 \cdot 9 x^{3} y^{1 + 1}

Add the numbers:

1 + 1 = 2

= 3 \cdot 9 x^{3} y^{2}

Multiply the numbers:

3 \cdot 9 = 27

= 27 x^{3} y^{2}

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Frequently Asked Questions (FAQ)

What is (3x^2y)(9xy) ?
The solution to (3x^2y)(9xy) is 27x^3y^2