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Popular >

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

Solution

simplify

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

Solution

9 x^{3} y^{4}

Solution steps

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

Apply exponent rule:

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

3 \cdot 3 = 3^{1 + 1}

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

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 2 = 3

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

Apply exponent rule:

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

y^{3} y = y^{3 + 1}

= 3^{2} x^{3} y^{3 + 1}

Add the numbers:

3 + 1 = 4

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

3^{2} = 9

= 9 x^{3} y^{4}

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Frequently Asked Questions (FAQ)

What is (3xy^3)(3x^2y) ?
The solution to (3xy^3)(3x^2y) is 9x^3y^4