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Popular >

simplify (-5a^3b^6)^3

Solution

simplify

(- 5 a^{3} b^{6})^{3}

Solution

- 125 a^{9} b^{18}

Solution steps

(- 5 a^{3} b^{6})^{3}

Apply exponent rule:

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

if

n

is odd

(- 5 a^{3} b^{6})^{3} = - (5 a^{3} b^{6})^{3}

= - (5 a^{3} b^{6})^{3}

Apply exponent rule:

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

(5 a^{3} b^{6})^{3} = 5^{3} (a^{3})^{3} (b^{6})^{3}

= - 5^{3} (a^{3})^{3} (b^{6})^{3}

5^{3} = 125

= - 125 (a^{3})^{3} (b^{6})^{3}

Simplify

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

= - 125 a^{9} (b^{6})^{3}

Simplify

(b^{6})^{3} : b^{18}

= - 125 a^{9} b^{18}

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Frequently Asked Questions (FAQ)

What is (-5a^3b^6)^3 ?
The solution to (-5a^3b^6)^3 is -125a^9b^{18}