What is (ln(5))(2/(3^4))^{-4} ?

The solution to (ln(5))(2/(3^4))^{-4} is 43046721/16 ln(5)

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simplify (ln(5))(2/(3^4))^{-4}

simplify

(ln (5)) (\frac{2}{3 ^{4}})^{- 4}

\frac{43046721}{16} ln (5)

Decimal Notation

4330064.04896 \dots

Solution steps

(ln (5)) (\frac{2}{3 ^{4}})^{- 4}

Apply exponent rule:

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

= \frac{1}{( \frac{2}{3 ^{4}} ) ^{4}} ln (5)

\frac{1}{( \frac{2}{3 ^{4}} ) ^{4}} = \frac{3 ^{16}}{2 ^{4}}

= \frac{3 ^{16}}{2 ^{4}} ln (5)

\frac{3 ^{16}}{2 ^{4}} = \frac{43046721}{16}

= \frac{43046721}{16} ln (5)

2 (2 x^{\frac{1}{2}})

3 3 x + 1

9.6 \cdot 1 0^{- 7}

f (x) x e^{x}

e^{- 629.2857}

What is (ln(5))(2/(3^4))^{-4} ?
The solution to (ln(5))(2/(3^4))^{-4} is 43046721/16 ln(5)