What is simplify-3piz^3cos(pi/4 y)e^{-4x^2} ?

The solution to simplify-3piz^3cos(pi/4 y)e^{-4x^2} is -(3piz^3cos((piy)/4))/(e^{4x^2)}

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simplify-3piz^3cos(pi/4 y)e^{-4x^2}

simplify

- 3 π z^{3} cos (\frac{π}{4} y) e^{- 4 x^{2}}

- \frac{3 π z ^{3} cos ( \frac{π y}{4} )}{e ^{4 x^{2}}}

Solution steps

- 3 π z^{3} cos (\frac{π}{4} y) e^{- 4 x^{2}}

Apply exponent rule:

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

= - 3 π \frac{1}{e ^{4 x^{2}}} z^{3} cos (\frac{π}{4} y)

Multiply

\frac{π}{4} y : \frac{π y}{4}

= - 3 π \frac{1}{e ^{4 x^{2}}} z^{3} cos (\frac{π y}{4})

Multiply fractions:

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

= - \frac{1 \cdot 3 π z ^{3} cos ( \frac{π y}{4} )}{e ^{4 x^{2}}}

Multiply the numbers:

1 \cdot 3 = 3

= - \frac{3 π z ^{3} cos ( \frac{π y}{4} )}{e ^{4 x^{2}}}

2 (3)^{3} e^{- (3)}

8.3 \cdot 1 0^{- 4}

e^{- 4 t} sin (2 t)

20 e^{- 0.0001216 (50000)}

2.31 \cdot 1 0^{- 3}

What is simplify-3piz^3cos(pi/4 y)e^{-4x^2} ?
The solution to simplify-3piz^3cos(pi/4 y)e^{-4x^2} is -(3piz^3cos((piy)/4))/(e^{4x^2)}