Convert a quotient of exponentials into a difference Precalculus

\dfrac{2^x}{8}

\dfrac{2^x}{6}

\dfrac{2^x}{4}

\dfrac{2^x}{3}

3

\dfrac{1}{3}

3^{2a+1}

3^{a/\left(a+1\right)}

2

\dfrac{1}{4}

-\dfrac{1}{4}

\dfrac{1}{2}

5

5^2

5^{3}

5^{1/3}

\dfrac{32}{2^a}

\dfrac{32}{a}

2^{5a}

2^{5/a}

5^2

5^4

\dfrac{5^8}{4}

5^6