Question

Rewrite the rational exponent as a radical by extending the properties of integer exponents. ps for the picture this added on to it = 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

By simplifying 8 to 2³ to make both powers base two, and subtracting the exponents:

$\cfrac{2^5}{8}= \cfrac{2^5}{2^3}= 2^{5-3}=2^2$