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Popular >

expand (-2w^4X)^3

Solution

expand

(- 2 w^{4} X)^{3}

Solution

- 8 w^{12} X^{3}

Solution steps

(- 2 w^{4} X)^{3}

Apply exponent rule:

(- a)^{n} = - a^{n},

if

n

is odd

(- 2 w^{4} X)^{3} = - (2 w^{4} X)^{3}

= - (2 w^{4} X)^{3}

Apply exponent rule:

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

(2 w^{4} X)^{3} = 2^{3} X^{3} (w^{4})^{3}

= - 2^{3} X^{3} (w^{4})^{3}

(w^{4})^{3} : w^{12}

= - 2^{3} w^{12} X^{3}

2^{3} = 8

= - 8 w^{12} X^{3}

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Frequently Asked Questions (FAQ)

What is expand (-2w^4X)^3 ?
The solution to expand (-2w^4X)^3 is -8w^{12}X^3