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Popular >

simplify e^{-6*ln(a/b)}

Solution

simplify

e^{- 6 \cdot l n (\frac{a}{b})}

Solution

\frac{b ^{6}}{a ^{6}}

Solution steps

e^{- 6 l n (\frac{a}{b})}

Apply exponent rule:

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

= \frac{1}{e ^{6 l n (\frac{a}{b})}}

e^{6 l n (\frac{a}{b})} = \frac{a ^{6}}{b ^{6}}

= \frac{1}{\frac{a ^{6}}{b ^{6}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{b ^{6}}{a ^{6}}

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Frequently Asked Questions (FAQ)

What is e^{-6*ln(a/b)} ?
The solution to e^{-6*ln(a/b)} is (b^6)/(a^6)