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Popular >

simplify 2y^2(2y)

Solution

simplify

2 y^{2} (2 y)

Solution

4 y^{3}

Solution steps

2 y^{2} (2 y)

Apply exponent rule:

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

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

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

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 1 = 3

= 2^{2} y^{3}

2^{2} = 4

= 4 y^{3}

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Frequently Asked Questions (FAQ)

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