What is 3.14*(2x)^2*15x ?

The solution to 3.14*(2x)^2*15x is 188.4x^3

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simplify 3.14(2x)^215x

simplify

3.14 \cdot (2 x)^{2} \cdot 15 x

188.4 x^{3}

Solution steps

3.14 (2 x)^{2} \cdot 15 x

Multiply the numbers:

3.14 \cdot 15 = 47.1

= 47.1 (2 x)^{2} x

= 47.1 x (2 x)^{2}

Simplify

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

= 47.1 x \cdot 4 x^{2}

Multiply the numbers:

47.1 \cdot 4 = 188.4

= 188.4 x x^{2}

Apply exponent rule:

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

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

= 188.4 x^{1 + 2}

Add the numbers:

1 + 2 = 3

= 188.4 x^{3}

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