Answer
$$\frac{4^{4.2}}{4^{3.7}}=2$$
Work Step by Step
$$\frac{4^{4.2}}{4^{3.7}}$$
As $4\gt0$, we can apply the law of exponents here.
We would need to apply this law: $$\frac{a^x}{a^y}=a^{x-y}$$
Therefore, $$\frac{4^{4.2}}{4^{3.7}}=4^{(4.2-3.7)}=4^{0.5}=\sqrt4=2$$
