# What is the value of 4 to the Power of 6 over 4 to the Power of 8?

We will solve it by using the multiplication rule of exponents and power.

## Answer: The Value of 4 to the Power of 6 over 4 to the Power of 8 is 0.0625.

Let's solve it step by step.

**Explanation:**

Given that, find the value of 4^{6}/4^{8}.

According to the multiplication rule of exponents and powers: a^{x} × a^{y} = a^{x+y}

Therefore, we can rewrite 4^{8} = 4^{2}^{+6} = 4^{2} × 4^{6}

⇒ 4^{6}/4^{8} = 4^{6}/(4^{2} × 4^{6})

= 1/4^{2}

= 1/16

= 0.0625