What is (27e^{-6j})(1/(16e^{-6j)}) ?

The solution to (27e^{-6j})(1/(16e^{-6j)}) is 27/16

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simplify (27e^{-6j})(1/(16e^{-6j)})

simplify

(27 e^{- 6 j}) (\frac{1}{16 e ^{- 6 j}})

\frac{27}{16}

Decimal Notation

1.6875

Solution steps

(27 e^{- 6 j}) (\frac{1}{16 e ^{- 6 j}})

Apply exponent rule:

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

= 27 \cdot \frac{1}{e ^{6 j}} \cdot \frac{1}{16 e ^{- 6 j}}

Multiply fractions:

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

= \frac{1 \cdot 1 \cdot 27}{e ^{6 j} \cdot 16 e ^{- 6 j}}

Multiply the numbers:

1 \cdot 1 \cdot 27 = 27

= \frac{27}{16 e ^{6 j} e ^{- 6 j}}

e^{6 j} \cdot 16 e^{- 6 j} = 16

= \frac{27}{16}

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What is (27e^{-6j})(1/(16e^{-6j)}) ?
The solution to (27e^{-6j})(1/(16e^{-6j)}) is 27/16