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

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

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

simplify

y^{2} (1 e^{x} - 1 e^{- x})^{2}

y^{2} (e^{x} - e^{- x})^{2}

Solution steps

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

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

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

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

Simplify

y (1 \cdot e^{x} - 1 \cdot e^{- x}) : y (e^{x} - e^{- x})

= (y (e^{x} - e^{- x}))^{2}

Apply exponent rule:

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

= y^{2} (e^{x} - e^{- x})^{2}

70 \cdot 1 0^{- 6} \cdot 1.5

(3.2 x 1 0^{5}) (3.1 x 1 0^{2})

4 (x^{3} y^{6}) (4 x^{2} y^{2})

\frac{e ^{9}}{e ^{3}}

1.07 \cdot 1 0^{- 2}

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