What is simplify-15/6 ln(3)e^{-1/4 ln(3t)} ?

The solution to simplify-15/6 ln(3)e^{-1/4 ln(3t)} is -(5ln(3))/(2\sqrt[4]{3)\sqrt[4]{t}}

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simplify-15/6 ln(3)e^{-1/4 ln(3t)}

simplify

- \frac{15}{6} ln (3) e^{- \frac{1}{4} l n (3 t)}

Solution steps

- \frac{15}{6} ln (3) e^{- \frac{1}{4} l n (3 t)}

Apply exponent rule:

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

= - \frac{15}{6} ln (3) \frac{1}{e ^{\frac{1}{4} l n (3 t)}}

\frac{15}{6} = \frac{5}{2}

= - \frac{5}{2} ln (3) \frac{1}{e ^{\frac{1}{4} l n (3 t)}}

Multiply fractions:

a \cdot \frac{b}{c} \cdot \frac{d}{e} = \frac{a \cdot b \cdot d}{c \cdot e}

Multiply the numbers:

5 \cdot 1 = 5

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

(2 + 3 x)^{- 1}

(2 t uv w) (5 t^{5} u^{3} v^{6} w)

(e^{- 2 x})^{3}

What is simplify-15/6 ln(3)e^{-1/4 ln(3t)} ?
The solution to simplify-15/6 ln(3)e^{-1/4 ln(3t)} is -(5ln(3))/(2\sqrt[4]{3)\sqrt[4]{t}}