en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-5x^2)^3

Solution

simplify

(- 5 x^{2})^{3}

Solution

- 125 x^{6}

Solution steps

(- 5 x^{2})^{3}

Apply exponent rule:

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

if

n

is odd

(- 5 x^{2})^{3} = - (5 x^{2})^{3}

= - (5 x^{2})^{3}

Apply exponent rule:

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

(5 x^{2})^{3} = 5^{3} (x^{2})^{3}

= - 5^{3} (x^{2})^{3}

5^{3} = 125

= - 125 (x^{2})^{3}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

(x^{2})^{3} = x^{2 \cdot 3}

= - 125 x^{2 \cdot 3}

Multiply the numbers:

2 \cdot 3 = 6

= - 125 x^{6}

Popular Examples

simplify 20/100+3/10 simplify

\frac{20}{100} + \frac{3}{10}

factor 4a^2-25a+21 factor

4 a^{2} - 25 a + 21

40 \div 10

40 \div 20

simplify (sqrt(5))/(10)simplify

\frac{5}{10}

Frequently Asked Questions (FAQ)

What is (-5x^2)^3 ?
The solution to (-5x^2)^3 is -125x^6