What is (1/2 (e^x-e^{-x}))^2 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (1/2 (e^x-e^{-x}))^2

simplify

(\frac{1}{2} (e^{x} - e^{- x}))^{2}

\frac{( e ^{x} - e ^{- x} ) ^{2}}{4}

Solution steps

(\frac{1}{2} (e^{x} - e^{- x}))^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

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

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{1}{2})^{2} = \frac{1 ^{2}}{2 ^{2}}

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

Apply rule

1^{a} = 1

1^{2} = 1

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

Multiply fractions:

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

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

Refine

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

3 y + 5 y - 7 y + x

1 2^{2}

\frac{6 x ^{3}}{( 2 x ^{4} ) ^{2}}

(- 2 - 7 i) + (7 - 7 i)

∣ 4 - 3 i ∣

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