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

The solution to 4^{-2((ln(3))/(2ln(2)))} is 1/(4^{\frac{ln(3)){ln(2)}}}

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

simplify

4^{- 2 (\frac{l n ( 3 )}{2 l n ( 2 )})}

\frac{1}{4 ^{\frac{l n ( 3 )}{l n ( 2 )}}}

Decimal Notation

0.11111 \dots

Solution steps

4^{- 2 (\frac{l n ( 3 )}{2 l n ( 2 )})}

Apply exponent rule:

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

= \frac{1}{4 ^{2 \cdot \frac{l n ( 3 )}{2 l n ( 2 )}}}

4^{2 \cdot \frac{l n ( 3 )}{2 l n ( 2 )}} = 4^{\frac{l n ( 3 )}{l n ( 2 )}}

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

e^{- 0.5 x^{2}}

\frac{( x - 4 ) ( x + 3 )}{x - 2}

100000 e^{- 0.2 \times 10}

- 9.866 e^{- 1}

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

What is 4^{-2((ln(3))/(2ln(2)))} ?
The solution to 4^{-2((ln(3))/(2ln(2)))} is 1/(4^{\frac{ln(3)){ln(2)}}}