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Popular >

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

Solution

simplify

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

Solution

- 54 z^{9}

Solution steps

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

Simplify

(- 3 z^{2})^{3} : - 27 z^{6}

= - 27 z^{6} \cdot 2 z^{3}

Multiply the numbers:

- 27 \cdot 2 = - 54

= - 54 z^{6} z^{3}

Apply exponent rule:

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

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

= - 54 z^{6 + 3}

Add the numbers:

6 + 3 = 9

= - 54 z^{9}

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Frequently Asked Questions (FAQ)

What is (-3z^2)^3(2z^3) ?
The solution to (-3z^2)^3(2z^3) is -54z^9