A) What is 4^3 ÷ 4^3 ? (Hint: Same as 2/2 or 6/6 or x/x) b) Rewrite 4^3 ÷ 4^3 using the quotient property:
c) Based on parts a and b above, what must 4^0 be? 4^0 =

Prove that xm · x0 = xm when m=0. Show your work below using your knowledge of properties of exponents and properties of integers.

Which of these sequences is a geometric sequence a 1,2,4, 7, 11, 16, 22. b. 2.4.8.14.22.38 c.3.6.9. 15.18,21 d. 3,9,27,81,243,729,

Aretha wanted to gather data about the cost of local bowling leagues in her area. she plotted the data and determined that the average bowling league costs consist of a one-time registration fee and a monthly fee modeled by the equation y = 15x + 20. identify and interpret the y-intercept in this model. the y-intercept is 20. this is the cost per month. the y-intercept is 20. this is the cost of registration. the y-intercept is 15. this is the cost of registration. the y-intercept is 15. this is the cost per month.

1) prove that 731^3−631^3 is divisible by 100 2) prove that 99^3−74^3 is divisible by 25