en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-5g^2h^6)^3

Solution

simplify

(- 5 g^{2} h^{6})^{3}

Solution

- 125 g^{6} h^{18}

Solution steps

(- 5 g^{2} h^{6})^{3}

Apply exponent rule:

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

if

n

is odd

(- 5 g^{2} h^{6})^{3} = - (5 g^{2} h^{6})^{3}

= - (5 g^{2} h^{6})^{3}

Apply exponent rule:

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

(5 g^{2} h^{6})^{3} = 5^{3} (g^{2})^{3} (h^{6})^{3}

= - 5^{3} (g^{2})^{3} (h^{6})^{3}

5^{3} = 125

= - 125 (g^{2})^{3} (h^{6})^{3}

Simplify

(g^{2})^{3} : g^{6}

= - 125 g^{6} (h^{6})^{3}

Simplify

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

= - 125 g^{6} h^{18}

Popular Examples

factor x^3+6x^2+9x+54 factor

x^{3} + 6 x^{2} + 9 x + 54

simplify sqrt(10)*sqrt(40)simplify

10 \cdot 40

simplify sqrt(26.14^2+0.9^2)simplify

26.1 4^{2} + 0. 9^{2}

simplify 3/4*32 simplify

\frac{3}{4} \cdot 32

simplify \sqrt[5]{w^{18}}simplify

Frequently Asked Questions (FAQ)

What is (-5g^2h^6)^3 ?
The solution to (-5g^2h^6)^3 is -125g^6h^{18}