To write 8 to the power of 6 as a power of 2, we need to use the exponent rule that says (xm)n = x^(mn). This means that when a base is raised to an exponent and then raised to another exponent, we can multiply the exponents together. For example, (23)4 = 2^(34) = 2^12.
In this case, we can rewrite 8 as 2^3, since 8 is equal to 2 times 2 times 2. Then we can apply the exponent rule and get:
8^6 = (23)6 = 2^(3*6) = 2^18
Therefore, 8 to the power of 6 is equal to 2 to the power of 18. We can write this using the symbol ^ as:
8^6 = 2^18
Or using LaTeX as:
86=218