Rewrite the expression in the form 4^n. 4^11/4^-8

4 ^ 19

Step-by-step explanation:

When we divide exponential expressions, if the bases is the same, we subtract the exponents

x^a / x^b = x^ (a-b)

4^11/4^-8 = 4^ (11 - - 8) = 4^ (11+8) = 4^ (19)

4^19

Step-by-step explanation:

1) When dividing you subtract the bottom exponent (-8) from the top exponent (11).

11 - (-8) = __

2) When subtracting a negative, you are actually adding. (change both signs)

11 + (+8) = __

3) Now just simply add them up.

11 + 8 = 19

4) This would give you 19 for your exponent and the final answer written in the form 4^n would be:

4^19