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Popular >

simplify (-5z^2)^3(4z^3)

Solution

simplify

(- 5 z^{2})^{3} (4 z^{3})

Solution

- 500 z^{9}

Solution steps

(- 5 z^{2})^{3} (4 z^{3})

Simplify

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

= - 125 z^{6} \cdot 4 z^{3}

Multiply the numbers:

- 125 \cdot 4 = - 500

= - 500 z^{6} z^{3}

Apply exponent rule:

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

z^{6} z^{3} = z^{6 + 3}

= - 500 z^{6 + 3}

Add the numbers:

6 + 3 = 9

= - 500 z^{9}

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Frequently Asked Questions (FAQ)

What is (-5z^2)^3(4z^3) ?
The solution to (-5z^2)^3(4z^3) is -500z^9