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Popular >

simplify (3y)(3y^2)

Solution

simplify

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

Solution

9 y^{3}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 2 = 3

= 3^{2} y^{3}

3^{2} = 9

= 9 y^{3}

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Frequently Asked Questions (FAQ)

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