# What is 4 to the power of 8?

We have to solve the above question by the multiplication rule of exponents. The power of a number shows that how many times we use the number in a multiplication.

## Answer: 4 to the power 8 is 65536.

Let's solve the above question through the following steps.

**Explanation:**

We have given 4 to the power of 8.

Basically, the rules for exponentiation describes that if m is a positive integer and y is any real number, then y^{m} can be shown as:

y^{m} = y × y × … × y (m times)

Hence, 4 to the power of 8 can be written as 4^{8}.

where 4 is called the base, and 8 is the power or exponent of the above expression.

Therefore, 4^{8 }= 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 = 65536.