What is expand x^{0.1}(1-e^{20(x-1)}) ?

The solution to expand x^{0.1}(1-e^{20(x-1)}) is x^{0.1}-e^{20x-20}x^{0.1}

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expand x^{0.1}(1-e^{20(x-1)})

expand

x^{0.1} (1 - e^{20 (x - 1)})

x^{0.1} - e^{20 x - 20} x^{0.1}

Solution steps

x^{0.1} (1 - e^{20 (x - 1)})

Apply the distributive law:

a (b - c) = ab - a c

a = x^{0.1}, b = 1, c = e^{20 (x - 1)}

= x^{0.1} \cdot 1 - x^{0.1} e^{20 (x - 1)}

= 1 \cdot x^{0.1} - e^{20 (x - 1)} x^{0.1}

Simplify

1 \cdot x^{0.1} - e^{20 (x - 1)} x^{0.1} : x^{0.1} - e^{20 x - 20} x^{0.1}

= x^{0.1} - e^{20 x - 20} x^{0.1}

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What is expand x^{0.1}(1-e^{20(x-1)}) ?
The solution to expand x^{0.1}(1-e^{20(x-1)}) is x^{0.1}-e^{20x-20}x^{0.1}