What is (4e^{4x})/(e^8(e^{16)-1)} ?

The solution to (4e^{4x})/(e^8(e^{16)-1)} is (4e^{4x-8})/(e^{16)-1}

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simplify (4e^{4x})/(e^8(e^{16)-1)}

simplify

\frac{4 e ^{4 x}}{e ^{8} ( e ^{16} - 1 )}

\frac{4 e ^{4 x - 8}}{e ^{16} - 1}

Solution steps

\frac{4 e ^{4 x}}{e ^{8} ( e ^{16} - 1 )}

Apply exponent rule:

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

\frac{e ^{4 x}}{e ^{8}} = e^{4 x - 8}

= \frac{4 e ^{4 x - 8}}{e ^{16} - 1}

\int \frac{2 x}{25 - x ^{2}} d x

e^{- \frac{t}{2}}

\int \frac{8}{x ^{2} + 16} d x

\int \frac{3 + 8 x - 2 x ^{3}}{4 x} d x

\int \frac{4}{( 1 + x ^{2} ) ^{2}} d x

What is (4e^{4x})/(e^8(e^{16)-1)} ?
The solution to (4e^{4x})/(e^8(e^{16)-1)} is (4e^{4x-8})/(e^{16)-1}