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Popular >

simplify (-2a^3b^2)^3

Solution

simplify

(- 2 a^{3} b^{2})^{3}

Solution

- 8 a^{9} b^{6}

Solution steps

(- 2 a^{3} b^{2})^{3}

Apply exponent rule:

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

if

n

is odd

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

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

Apply exponent rule:

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

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

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

2^{3} = 8

= - 8 (a^{3})^{3} (b^{2})^{3}

Simplify

(a^{3})^{3} : a^{9}

= - 8 a^{9} (b^{2})^{3}

Simplify

(b^{2})^{3} : b^{6}

= - 8 a^{9} b^{6}

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Frequently Asked Questions (FAQ)

What is (-2a^3b^2)^3 ?
The solution to (-2a^3b^2)^3 is -8a^9b^6