Simplify the following and leave your answer in exponential form

2^16/2^-5

Using the rule for dividing exponents with the same base, when you divide two exponents with the same base, you subtract the exponents.

2^16 / 2^-5 = 2^(16-(-5))

Simplifying the exponent:

2^(16-(-5)) = 2^(16+5)

Adding the exponents:

2^(16+5) = 2^21

Therefore, the simplified form is 2^21.