To find 4 raised to the power of 8, we can express this mathematically as 48. This means we will multiply 4 by itself a total of 8 times. Let’s break it down step by step:
48 = 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4
Instead of doing this tedious multiplication, we can simplify the calculation using properties of exponents. We know that:
(am)n = am*namn = am+n
We can also break down 4 as 22. Thus, we can rewrite 48 as:
(22)8 = 22*8 = 216
Now we just need to calculate 216:
2
Therefore, 4 raised to the power of 8 equals 65,536.