What is e^{-8/3 ln(200-3x)} ?

The solution to e^{-8/3 ln(200-3x)} is 1/((-3x+200)^{8/3)}

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simplify e^{-8/3 ln(200-3x)}

simplify

e^{- \frac{8}{3} l n (200 - 3 x)}

\frac{1}{( - 3 x + 200 ) ^{\frac{8}{3}}}

Solution steps

e^{- \frac{8}{3} l n (200 - 3 x)}

Apply exponent rule:

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

= \frac{1}{e ^{\frac{8}{3} l n (- 3 x + 200)}}

e^{\frac{8}{3} l n (200 - 3 x)} = (200 - 3 x)^{\frac{8}{3}}

= \frac{1}{( 200 - 3 x ) ^{\frac{8}{3}}}

25 \cdot 35.1 \cdot 1 0^{- 6}

3.162 \cdot 1 0^{- 8}

6 (225)^{- 0.4}

e^{- \frac{10}{2}}

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

What is e^{-8/3 ln(200-3x)} ?
The solution to e^{-8/3 ln(200-3x)} is 1/((-3x+200)^{8/3)}