1. Simplify

26 ⋅ 26^8

2. Simplify
(-5)^5 / (-5)^-6

3. Simplify
8^15 ÷ 8^-3

2 answers

When the bases are the same...
for MULTIPLICATION add the exponents
for DIVISION subtract the exponents when the bases are the same.
1. 26^1 * 26^8 = 26^9.

2. (-5)^5/(-5)^-6 = (-5)^11.
Note: I subtracted the exponent in the denominator from
the exponent in numerator.

3. Same procedure as #2.