What is 3^{(-(-pi)^2)}*(-pi) ?

The solution to 3^{(-(-pi)^2)}*(-pi) is -pi/(3^{pi^2)}

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simplify 3^{(-(-pi)^2)}*(-pi)

simplify

3^{(- (- π)^{2})} \cdot (- π)

- \frac{π}{3 ^{π^{2}}}

Decimal Notation

- 0.00006 \dots

Solution steps

3^{(- (- π)^{2})} (- π)

Apply exponent rule:

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

= (- π) \frac{1}{3 ^{(- π)^{2}}}

Remove parentheses:

(- a) = - a

= - \frac{1}{3 ^{(- π)^{2}}} π

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

= - π \frac{1}{3 ^{π^{2}}}

Multiply fractions:

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

= - \frac{1 π}{3 ^{π^{2}}}

Multiply:

1 π = π

= - \frac{π}{3 ^{π^{2}}}

e^{- 1 \cdot 1200}

2.25 \cdot 1.26

5^{\frac{1}{3}}

p^{1} \Rightarrow p^{2}

What is 3^{(-(-pi)^2)}*(-pi) ?
The solution to 3^{(-(-pi)^2)}*(-pi) is -pi/(3^{pi^2)}