en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2k^3(2k^2)(3k^3)

Solution

simplify

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

Solution

12 k^{8}

Solution steps

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

2 \cdot 2 = 2^{1 + 1}

= k^{3} \cdot 2^{1 + 1} k^{2} \cdot 3 k^{3}

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

k^{3} k^{2} k^{3} = k^{3 + 2 + 3}

= 2^{2} \cdot 3 k^{3 + 2 + 3}

Add the numbers:

3 + 2 + 3 = 8

= 2^{2} \cdot 3 k^{8}

2^{2} = 4

= 4 \cdot 3 k^{8}

Multiply the numbers:

4 \cdot 3 = 12

= 12 k^{8}

Popular Examples

simplify e^{5t}*e^{-t}simplify

e^{5 t} \cdot e^{- t}

simplify ((-5)/(2+e))*e^{-1}simplify

(\frac{- 5}{2 + e}) \cdot e^{- 1}

simplify (499^{500})/(500^{500)}simplify

\frac{49 9 ^{500}}{50 0 ^{500}}

simplify-5e^{(-0.1*20)}simplify

- 5 e^{(- 0.1 \cdot 20)}

simplify 1.9*10^{-15}simplify

1.9 \cdot 1 0^{- 15}

Frequently Asked Questions (FAQ)

What is 2k^3(2k^2)(3k^3) ?
The solution to 2k^3(2k^2)(3k^3) is 12k^8