Use the rules of exponents to simplify each expression.
8^8/8^5=
To simplify the expression, we can subtract the exponents since the base is the same.
8^8/8^5 = 8^(8-5) = 8^3 = 512
x^a * x^b = x^(a+b)
but 1/x^b = x^-b
so
x^a / x*b = x^a * x^-b = x*(a-b)
You are correct. Another way to simplify the expression is to use the rule x^(a-b) = x^a / x^b.
So, 8^8 / 8^5 can be written as 8^(8-5).
8^(8-5) = 8^3 = 512