What is the simplified exponent of c in the expression:(5a^(4)b^(2)c)/(a^(3)b)

Answer 1

To simplify the exponent of c in the expression (5a^(4)b^(2)c)/(a^(3)b), we can divide the coefficient and the variables separately.

First, let's simplify the coefficient:
5 / 1 = 5

Next, let's simplify the variables:
For the variables with exponent a:
a^(4) / a^(3) = a^(4-3) = a^(1) = a

For the variables with exponent b:
b^(2) / b = b^(2-1) = b^(1) = b

So, the simplified exponent of c is 5abc.