8 to the 12 power over 8 to the 9th power equals 8 to the what power?
consider
8^12 = 8*8*8...*8 12 times
8*9 = 8*8*8...*8 9 times
nine of those factors cancel out, leaving 3 in the top, or
8^3
This is why
x^m / x^n = x^(m-n)
since n of the factors cancel out when reducing the fraction.
To find the value of 8 to the power of what we can start by applying the rules of exponents.
When dividing two numbers with the same base, we subtract the exponents:
8^12 / 8^9
= 8^(12-9)
= 8^3
Therefore, 8 to the 12th power divided by 8 to the 9th power equals 8 to the 3rd power.