en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (e^{2t})/(e^{5t)}

Solution

simplify

\frac{e ^{2 t}}{e ^{5 t}}

Solution

e^{- 3 t}

Solution steps

\frac{e ^{2 t}}{e ^{5 t}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

= e^{2 t - 5 t}

Add similar elements:

2 t - 5 t = - 3 t

= e^{- 3 t}

Popular Examples

simplify 160.58e^{-0.38*3.2}simplify

160.58 e^{- 0.38 \cdot 3.2}

simplify 4.13*10^{-1}simplify

4.13 \cdot 1 0^{- 1}

simplify-e^x1xe^x simplify

- e^{x} 1 x e^{x}

simplify (4k+2)^2(4k+1)^2 simplify

(4 k + 2)^{2} (4 k + 1)^{2}

simplify 475(5+9.5^2)^{-1/3}simplify

475 (5 + 9. 5^{2})^{- \frac{1}{3}}

Frequently Asked Questions (FAQ)

What is (e^{2t})/(e^{5t)} ?
The solution to (e^{2t})/(e^{5t)} is e^{-3t}