en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (e^{ln(27)})/(e^{ln(9))}

Solution

simplify

\frac{e ^{l n (27)}}{e ^{l n (9)}}

Solution

3

Solution steps

\frac{e ^{l n (27)}}{e ^{l n (9)}}

Apply exponent rule:

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

= e^{l n (27) - l n (9)}

ln (27) - ln (9) = ln (3)

= e^{l n (3)}

Apply log rule:

a^{l o g_{a} (b)} = b

= 3

Popular Examples

simplify 8.99(10^{-5})((320)/(6.3))simplify

8.99 (1 0^{- 5}) (\frac{320}{6.3})

simplify 0.0625(30^{0.5})^{-1.6}simplify

0.0625 (3 0^{0.5})^{- 1.6}

simplify e^{-0.123}simplify

e^{- 0.123}

simplify e^{-2t}(U)(t+1)simplify

e^{- 2 t} (U) (t + 1)

simplify 3.017*10^{-6}simplify

3.017 \cdot 1 0^{- 6}

Frequently Asked Questions (FAQ)

What is (e^{ln(27)})/(e^{ln(9))} ?
The solution to (e^{ln(27)})/(e^{ln(9))} is 3