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Popular >

simplify (-5a^2)^3*a^5

Solution

simplify

(- 5 a^{2})^{3} \cdot a^{5}

Solution

- 125 a^{11}

Solution steps

(- 5 a^{2})^{3} a^{5}

Simplify

(- 5 a^{2})^{3} : - 125 a^{6}

= - 125 a^{6} a^{5}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

a^{6} a^{5} = a^{6 + 5}

= - 125 a^{6 + 5}

Add the numbers:

6 + 5 = 11

= - 125 a^{11}

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Frequently Asked Questions (FAQ)

What is (-5a^2)^3*a^5 ?
The solution to (-5a^2)^3*a^5 is -125a^{11}