how would you do this?

Question

Rewrite the rational exponent as a radical by extending the properties of integer exponents.

Answer 1

Note that a fraction can be written as number with a negative exponent....example:

1/2 = 2^ -1= 2^-1

So.....2^3/4 / 2^1/2 = 2^3/4 * 2^-1/2 =2^1/4

Answer 2

a^x

------ = a^(x-y)

a^y

so 2^3/4

-------- = 2^(3/4 - 1/2) = 2^1/4 = 4th root of 2

2^1/2