What is simplify-0.9e^{-(j^3pi)/4}*(-0.9)e^{(j^3pi)/4} ?

The solution to simplify-0.9e^{-(j^3pi)/4}*(-0.9)e^{(j^3pi)/4} is 0.81

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simplify-0.9e^{-(j^3pi)/4}*(-0.9)e^{(j^3pi)/4}

simplify

- 0.9 e^{- \frac{j ^{3} π}{4}} \cdot (- 0.9) e^{\frac{j ^{3} π}{4}}

0.81

Solution steps

- 0.9 e^{- \frac{j ^{3} π}{4}} (- 0.9) e^{\frac{j ^{3} π}{4}}

Apply exponent rule:

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

= - 0.9 (- 0.9) e^{\frac{π j ^{3}}{4}} \frac{1}{e ^{\frac{π j ^{3}}{4}}}

Apply rule

- (- a) = a

= 0.9 \cdot \frac{1}{e ^{\frac{j ^{3} π}{4}}} \cdot 0.9 e^{\frac{j ^{3} π}{4}}

Multiply fractions:

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

= 0.9 \cdot 0.9 \cdot \frac{1 \cdot e ^{\frac{π j ^{3}}{4}}}{e ^{\frac{π j ^{3}}{4}}}

Cancel the common factor:

e^{\frac{j ^{3} π}{4}}

= 0.9 \cdot 0.9 \cdot 1

Multiply the numbers:

0.9 \cdot 0.9 \cdot 1 = 0.81

= 0.81

\frac{1}{2} (0.1 \cdot 1 0^{- 6}) (3300)^{2}

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(10 \cdot 1 0^{- 6}) \cdot (9.64 \cdot 1 0^{3})

ln (10) (x^{\frac{1}{3}} y^{\frac{1}{3}} z^{\frac{1}{3}}) \frac{1}{x}

What is simplify-0.9e^{-(j^3pi)/4}*(-0.9)e^{(j^3pi)/4} ?
The solution to simplify-0.9e^{-(j^3pi)/4}*(-0.9)e^{(j^3pi)/4} is 0.81