Question

Explain how the Quotient of Powers was used to simplify this expression. = 22 By finding the quotient of the bases to be , and cancelling common factors By finding the quotient of the bases to be , 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

the correct question in the attached figure

(2^5)/8=2^2

we have

8----------- >2^3

(2^5)/8----------- > (2^5)/(2^3)=2^(5-3)=2^2

therefore

2^2=2^2-- ------> is ok

the answer is by simplifying 8 to 2^3 to make both powers base two and subtracting the exponents