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Popular >

simplify x*(2x)^2

Solution

simplify

x \cdot (2 x)^{2}

Solution

4 x^{3}

Solution steps

x (2 x)^{2}

Simplify

(2 x)^{2} : 4 x^{2}

= x \cdot 4 x^{2}

Apply exponent rule:

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

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

= x^{1 + 2} \cdot 4

Add the numbers:

1 + 2 = 3

= x^{3} \cdot 4

= 4 x^{3}

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Frequently Asked Questions (FAQ)

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