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Popular >

simplify (-2ab)^3

Solution

simplify

(- 2 ab)^{3}

Solution

- 8 a^{3} b^{3}

Solution steps

(- 2 ab)^{3}

Apply exponent rule:

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

if

n

is odd

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

= - (2 ab)^{3}

Apply exponent rule:

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

(2 ab)^{3} = 2^{3} a^{3} b^{3}

= - 2^{3} a^{3} b^{3}

2^{3} = 8

= - 8 a^{3} b^{3}

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Frequently Asked Questions (FAQ)

What is (-2ab)^3 ?
The solution to (-2ab)^3 is -8a^3b^3