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Popular >

simplify (3y)^3(2y^2)

Solution

simplify

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

Solution

54 y^{5}

Solution steps

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

Simplify

(3 y)^{3} : 27 y^{3}

= 27 y^{3} \cdot 2 y^{2}

Multiply the numbers:

27 \cdot 2 = 54

= 54 y^{3} y^{2}

Apply exponent rule:

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

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

= 54 y^{3 + 2}

Add the numbers:

3 + 2 = 5

= 54 y^{5}

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simplify+(-2)/3 simplify

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Frequently Asked Questions (FAQ)

What is (3y)^3(2y^2) ?
The solution to (3y)^3(2y^2) is 54y^5