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Popular >

simplify x^3(-x^2)(2x)^3

Solution

simplify

x^{3} (- x^{2}) (2 x)^{3}

Solution

- 8 x^{8}

Solution steps

x^{3} (- x^{2}) (2 x)^{3}

Apply rule:

a (- b) = - ab

x^{3} (- x^{2}) = - x^{3} x^{2}

= - x^{3} x^{2} (2 x)^{3}

Simplify

x^{3} x^{2} : x^{5}

= - x^{5} (2 x)^{3}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(2 x)^{3} = 2^{3} x^{3}

= - 2^{3} x^{5} x^{3}

Apply exponent rule:

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

x^{5} x^{3} = x^{5 + 3}

= - 2^{3} x^{5 + 3}

Refine

= - 8 x^{8}

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Frequently Asked Questions (FAQ)

What is x^3(-x^2)(2x)^3 ?
The solution to x^3(-x^2)(2x)^3 is -8x^8