What is (ze^2-1)^2(e^{-4}) ?

The solution to (ze^2-1)^2(e^{-4}) is ((e^2z-1)^2)/(e^4)

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simplify (ze^2-1)^2(e^{-4})

simplify

(z e^{2} - 1)^{2} (e^{- 4})

\frac{( e ^{2} z - 1 ) ^{2}}{e ^{4}}

Solution steps

(z e^{2} - 1)^{2} (e^{- 4})

Apply exponent rule:

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

= \frac{1}{e ^{4}} (e^{2} z - 1)^{2}

Multiply fractions:

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

= \frac{1 \cdot ( z e ^{2} - 1 ) ^{2}}{e ^{4}}

Multiply:

1 \cdot (z e^{2} - 1)^{2} = (z e^{2} - 1)^{2}

= \frac{( e ^{2} z - 1 ) ^{2}}{e ^{4}}

\frac{x + 4}{1 - x}

1.58984 \cdot 1 0^{- 2}

0.00754 e^{- 3}

7.8 \cdot 1 0^{- 10} \cdot 0.00885

(- 5 x^{2}) (2 x^{5}) (- 5 x^{2}) (2 x^{5})

What is (ze^2-1)^2(e^{-4}) ?
The solution to (ze^2-1)^2(e^{-4}) is ((e^2z-1)^2)/(e^4)