use the quotient rule for exponents to simplify

c^16/c^9
c^16/c^9=___
​(Type your answer using exponential notation. Use positive exponents​ only.)

By applying the quotient rule for exponents, we subtract the exponents of the same base:

c^16/c^9 = c^(16-9) = c^7

The quotient rule for exponents states that when dividing two terms with the same base, you subtract the exponents.

In this case, using the quotient rule for exponents, we can simplify

c^16/c^9 = c^(16-9) = c^7

So, c^16/c^9 simplifies to c^7.

To simplify the expression (c^16)/(c^9) using the quotient rule for exponents, we subtract the exponents of c.

c^16 divided by c^9 is equal to c^(16-9).

So, c^16/c^9 simplifies to c^7.

Therefore, the answer is c^7.