# What is 5 to the 6th power times 5 to the -2 power?

As the number being raised to the powers is the same, the powers can be added together and the answer is the number raised to this power:

56 x 5-2 = 56 + -2 = 54 = 625

### What is 5 to the power of 3 times 5 to the power of 2 but written as a power of 5?

5 to the power of three times 5 to the power of 2 is equal to 5 to the power of 5. We know this because A^a times A^b equals A^(a+b). We know this by solving the problem manually. 5 to the power of 3 is equal to 5*5*5 and 5 to the power of 2 is equal to 5*5. when you multiply them, it becomes 5*5*5*5*5 which is equal to 5 to the power…