Could I have someone check my work please?

If I did something wrong please explain to me where I went wrong. Thank You.

Example of the product rule to solve would be, (5^3)(6^3)

Example of the quotient rule to solve would be, (4^2) / (8^2)

Example of the power rule to solve would be, (6^8)^8

I answered:
5^3 * 6^3 = (5*5*5) * (6*6*6) = 125 * 216 = 27,000

4^2 / 8^2 = (2*2)(2*2)/ (2*2*2)(2*2*2) = 2^4 / 2^6 = 2^-2 = 1/(2*2) = 1/4

(6^8)^8 = (6^8)(6^8)(6^8)(6^8)(6^8)(6^8)(6^8)(6^8) = 6^(8*8) = 6 ^64

2 answers

Correct. :)
Thanks! =0)