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Popular >

simplify 2y(2y^3)

Solution

simplify

2 y (2 y^{3})

Solution

4 y^{4}

Solution steps

2 y (2 y^{3})

Apply exponent rule:

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

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

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

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 3 = 4

= 2^{2} y^{4}

2^{2} = 4

= 4 y^{4}

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Frequently Asked Questions (FAQ)

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