Explain how the quotient of powers property was used to simplify this expression.
2 with a 5 exponent over 8 = 2 with a 2 exponent.

a.) by finding the quotient of the bases to be 1 over 4 and canceling common factors.
b.) by finding the quotient of the bases to be 1 over 4 and simplifying the expression
c.) by simplifying 8 to 2 exponent 3 to make both powers base two and subtracting the exponents
d.) by simplifying 8 to 2 exponent 3 to make both powers base two and adding the exponents

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below:

Which expression is equivalent to the expression shown?

Jonathan puts $400 in a bank account. each year the account earns 6% simple interest. how much interest will be earned in 5 years?