A quotient of two powers is basically the powers before its simplified. So for a 5 x 5 x 5 x 5 is 5 being multiplied by itself 4 times divided by 5 x 5 which is 5 being multiplied by itself 2 times. So this leads us to the conclusion that 5^4/5^2 for the quotient of two powers. Then using the rules of powers when dividing powers you subtract so in this case 4-2 is 2. So the answer is 5^2 for single power. The other problems are basically the same as well, just different numbers.
b) (7 x 7 x 7)/ (7 x 7 x 7)= 7^3/7^3=7^0=1
c)(8 x 8 x 8 x 8 x 8 x 8 x 8)/(8 x 8 x 8 x 8)= 8^7/8^4= 8^3
