26 ÷ 23

Sarah is trying to solve the above expression. She takes the following steps:

1. Sarah checks to see that both numbers have the same base. Since they both have the same base, she decides to work with the exponents.

26 ÷ 23

2. Sarah now adds 6 and 3 since this is a division problem.

She arrives at the answer of 29. Which step(s) did she make a mistake on and what was the mistake?

taking a wild stab here, but ....

did you mean 2^6 ÷ 2^3 ????

To divide 2 powers with the same base, keep the base and subtract the exponents.

so 2^6 ÷ 2^3 = 2^3 or 8

What a "Much Ado About Nothing" .