What is expand e^a(1/(e^{20)}-1/(e^{24)}) ?

The solution to expand e^a(1/(e^{20)}-1/(e^{24)}) is (1/(e^{20)}-1/(e^{24)})e^a

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expand e^a(1/(e^{20)}-1/(e^{24)})

expand

e^{a} (\frac{1}{e ^{20}} - \frac{1}{e ^{24}})

(\frac{1}{e ^{20}} - \frac{1}{e ^{24}}) e^{a}

Solution steps

e^{a} (\frac{1}{e ^{20}} - \frac{1}{e ^{24}})

= (\frac{1}{e ^{20}} - \frac{1}{e ^{24}}) e^{a}

Apply the distributive law:

a (b - c) = ab - a c

a = e^{a}, b = \frac{1}{e ^{20}}, c = \frac{1}{e ^{24}}

= e^{a} \frac{1}{e ^{20}} - e^{a} \frac{1}{e ^{24}}

= \frac{1}{e ^{20}} e^{a} - \frac{1}{e ^{24}} e^{a}

Simplify

\frac{1}{e ^{20}} e^{a} - \frac{1}{e ^{24}} e^{a} : (\frac{1}{e ^{20}} - \frac{1}{e ^{24}}) e^{a}

= (\frac{1}{e ^{20}} - \frac{1}{e ^{24}}) e^{a}

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What is expand e^a(1/(e^{20)}-1/(e^{24)}) ?
The solution to expand e^a(1/(e^{20)}-1/(e^{24)}) is (1/(e^{20)}-1/(e^{24)})e^a