en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-5k^3)^2

Solution

simplify

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

Solution

25 k^{6}

Solution steps

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

Apply exponent rule:

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

if

n

is even

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

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

Apply exponent rule:

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

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

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

5^{2} = 25

= 25 (k^{3})^{2}

Apply exponent rule:

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

assuming

a \geq 0

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

= 25 k^{3 \cdot 2}

Multiply the numbers:

3 \cdot 2 = 6

= 25 k^{6}

Popular Examples

simplify-2/3-2/7 simplify

- \frac{2}{3} - \frac{2}{7}

simplify (-6x^2y^3)^3 simplify

(- 6 x^{2} y^{3})^{3}

simplify sqrt((2)^2+(5)^2)simplify

(2)^{2} + (5)^{2}

simplify (a+10b-9)+(3a-5b+4c)+(2c+b-6)simplify

(a + 10 b - 9) + (3 a - 5 b + 4 c) + (2 c + b - 6)

factor 4x+2 factor

4 x + 2

Frequently Asked Questions (FAQ)

What is (-5k^3)^2 ?
The solution to (-5k^3)^2 is 25k^6