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Popular >

simplify (-4a^3b^3c^2)^3

Solution

simplify

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

Solution

- 64 a^{9} b^{9} c^{6}

Solution steps

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

Apply exponent rule:

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

if

n

is odd

(- 4 a^{3} b^{3} c^{2})^{3} = - (4 a^{3} b^{3} c^{2})^{3}

= - (4 a^{3} b^{3} c^{2})^{3}

Apply exponent rule:

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

(4 a^{3} b^{3} c^{2})^{3} = 4^{3} (a^{3})^{3} (b^{3})^{3} (c^{2})^{3}

= - 4^{3} (a^{3})^{3} (b^{3})^{3} (c^{2})^{3}

4^{3} = 64

= - 64 (a^{3})^{3} (b^{3})^{3} (c^{2})^{3}

Simplify

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

= - 64 a^{9} (b^{3})^{3} (c^{2})^{3}

Simplify

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

= - 64 a^{9} b^{9} (c^{2})^{3}

Simplify

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

= - 64 a^{9} b^{9} c^{6}

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Frequently Asked Questions (FAQ)

What is (-4a^3b^3c^2)^3 ?
The solution to (-4a^3b^3c^2)^3 is -64a^9b^9c^6