en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-3e^{6t})^{-1/2}

Solution

simplify

(- 3 e^{6 t})^{- \frac{1}{2}}

Solution

\frac{1}{3 ^{\frac{1}{2}} i e ^{3 t}}

Solution steps

(- 3 e^{6 t})^{- \frac{1}{2}}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{( - 3 e ^{6 t} ) ^{\frac{1}{2}}}

(- 3 e^{6 t})^{\frac{1}{2}} = i (3 e^{6 t})^{\frac{1}{2}}

= \frac{1}{i ( 3 e ^{6 t} ) ^{\frac{1}{2}}}

(3 e^{6 t})^{\frac{1}{2}} = 3^{\frac{1}{2}} e^{3 t}

= \frac{1}{3 ^{\frac{1}{2}} i e ^{3 t}}

Popular Examples

simplify 1/(1.9)e^{-0.6t}simplify

\frac{1}{1.9} e^{- 0.6 t}

simplify sqrt(x^2+1)*sqrt(x^2+25)simplify

x^{2} + 1 \cdot x^{2} + 25

simplify e^{-8x}xe^{4x}(e^{4x})/(25+x^2)simplify

e^{- 8 x} x e^{4 x} \frac{e ^{4 x}}{25 + x ^{2}}

simplify e^5*e^{-3}simplify

e^{5} \cdot e^{- 3}

simplify (1.67*10^{-27})*0.016 simplify

(1.67 \cdot 1 0^{- 27}) \cdot 0.016

Frequently Asked Questions (FAQ)

What is (-3e^{6t})^{-1/2} ?
The solution to (-3e^{6t})^{-1/2} is 1/(3^{1/2)ie^{3t}}