Question

Explain how the Quotient of Powers was used to simplify this expression. 2 to the fifth power, over 8 = 22 By finding the quotient of the bases to be one fourth, and cancelling common factors By finding the quotient of the bases to be one fourth, and simplifying the expression By simplifying 8 to 23 to make both powers base two, and subtracting the exponents By simplifying 8 to 23 to make both powers base two, and adding the exponents

Answer 1

C is the correct answer

Answer 2

`(2^5)/(8)=2^2`. If we change the 8 into a base of 2 raised to the 3rd power we can use the Quotient rule for exponents. Rewriting we have
`(2^5)/(2^3)`. The rule is that if the bases are the same (which they are) we can subtract the exponents, lower from upper.
`2^(5-3)=2^2`. So the reason we will choose is the third one: By simplifying 8 to
`2^3` to make both powers base 2, and subtracting the exponents.