How to combine $5*3^{(x+1)}$

Question

I came across the following equality: $$\frac{2^x}{5*3^{(x+1)}}=\frac1{15}\left(\frac23\right)^x$$ Why is this?

More specifically, what I don't understand is how to combine the $5*3^{(x+1)}$.

Answer 1

Use the law of exponents $$3^{x+y}=3^x×3^y$$ So, $$5×3^{x+1}=5×3×3^x$$

Answer 2

$3^{x+1}=3\times3^x$ so

$$\frac{2^x}{5\times3^{x+1}}= \frac{2^x}{5\times(3\times3^x)}= \frac{2^x}{(5\times3)\times3^x}=\frac1{15}\left(\frac23\right)^x$$