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Popular >

simplify (-4a^3)^3*a^4

Solution

simplify

(- 4 a^{3})^{3} \cdot a^{4}

Solution

- 64 a^{13}

Solution steps

(- 4 a^{3})^{3} a^{4}

Simplify

(- 4 a^{3})^{3} : - 64 a^{9}

= - 64 a^{9} a^{4}

Apply exponent rule:

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

a^{9} a^{4} = a^{9 + 4}

= - 64 a^{9 + 4}

Add the numbers:

9 + 4 = 13

= - 64 a^{13}

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Frequently Asked Questions (FAQ)

What is (-4a^3)^3*a^4 ?
The solution to (-4a^3)^3*a^4 is -64a^{13}