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Popular >

simplify (-8g^4h^6)^3

Solution

simplify

(- 8 g^{4} h^{6})^{3}

Solution

- 512 g^{12} h^{18}

Solution steps

(- 8 g^{4} h^{6})^{3}

Apply exponent rule:

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

if

n

is odd

(- 8 g^{4} h^{6})^{3} = - (8 g^{4} h^{6})^{3}

= - (8 g^{4} h^{6})^{3}

Apply exponent rule:

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

(8 g^{4} h^{6})^{3} = 8^{3} (g^{4})^{3} (h^{6})^{3}

= - 8^{3} (g^{4})^{3} (h^{6})^{3}

8^{3} = 512

= - 512 (g^{4})^{3} (h^{6})^{3}

Simplify

(g^{4})^{3} : g^{12}

= - 512 g^{12} (h^{6})^{3}

Simplify

(h^{6})^{3} : h^{18}

= - 512 g^{12} h^{18}

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Frequently Asked Questions (FAQ)

What is (-8g^4h^6)^3 ?
The solution to (-8g^4h^6)^3 is -512g^{12}h^{18}