What is simplify-1/(2ln(3))*3^{-2^2} ?

The solution to simplify-1/(2ln(3))*3^{-2^2} is -1/(162ln(3))

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simplify-1/(2ln(3))*3^{-2^2}

simplify

- \frac{1}{2 ln ( 3 )} \cdot 3^{- 2^{2}}

- \frac{1}{162 ln ( 3 )}

Decimal Notation

- 0.00561 \dots

Solution steps

- \frac{1}{2 ln ( 3 )} \cdot 3^{- 2^{2}}

Apply exponent rule:

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

= - \frac{1}{2 ln ( 3 )} \cdot \frac{1}{3 ^{2^{2}}}

Multiply fractions:

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

= - \frac{1 \cdot 1}{2 ln ( 3 ) \cdot 3 ^{2^{2}}}

Multiply the numbers:

1 \cdot 1 = 1

= - \frac{1}{2 \cdot 3 ^{2^{2}} ln ( 3 )}

2 ln (3) \cdot 3^{2^{2}} = 162 ln (3)

= - \frac{1}{162 ln ( 3 )}

(4 - x^{2})^{4}

(4 x^{2}) (3 x)

\frac{13}{7}

- 1 - 1 - 1

What is simplify-1/(2ln(3))*3^{-2^2} ?
The solution to simplify-1/(2ln(3))*3^{-2^2} is -1/(162ln(3))