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Popular >

simplify (-3c^3*w^5)^3

Solution

simplify

(- 3 c^{3} \cdot w^{5})^{3}

Solution

- 27 c^{9} w^{15}

Solution steps

(- 3 c^{3} w^{5})^{3}

Apply exponent rule:

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

if

n

is odd

(- 3 c^{3} w^{5})^{3} = - (3 c^{3} w^{5})^{3}

= - (3 c^{3} w^{5})^{3}

Apply exponent rule:

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

(3 c^{3} w^{5})^{3} = 3^{3} (c^{3})^{3} (w^{5})^{3}

= - 3^{3} (c^{3})^{3} (w^{5})^{3}

3^{3} = 27

= - 27 (c^{3})^{3} (w^{5})^{3}

Simplify

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

= - 27 c^{9} (w^{5})^{3}

Simplify

(w^{5})^{3} : w^{15}

= - 27 c^{9} w^{15}

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Frequently Asked Questions (FAQ)

What is (-3c^3*w^5)^3 ?
The solution to (-3c^3*w^5)^3 is -27c^9w^{15}