en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{5x}*5e^{5x-9}

Solution

simplify

e^{5 x} \cdot 5 e^{5 x - 9}

Solution

5 e^{10 x - 9}

Solution steps

e^{5 x} \cdot 5 e^{5 x - 9}

Apply exponent rule:

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

e^{5 x} e^{5 x - 9} = e^{5 x + 5 x - 9}

= 5 e^{5 x + 5 x - 9}

Add similar elements:

5 x + 5 x = 10 x

= 5 e^{10 x - 9}

Popular Examples

simplify 4x^3y(2x^2)simplify

4 x^{3} y (2 x^{2})

simplify 7e^{-0.093*27}simplify

7 e^{- 0.093 \cdot 27}

simplify 7e^{-0.093*29}simplify

7 e^{- 0.093 \cdot 29}

simplify 1.591^{-3}mm simplify

1.59 1^{- 3} mm

simplify 1.66*10^{-27}*4 simplify

1.66 \cdot 1 0^{- 27} \cdot 4

Frequently Asked Questions (FAQ)

What is e^{5x}*5e^{5x-9} ?
The solution to e^{5x}*5e^{5x-9} is 5e^{10x-9}