Rewrite the rational exponent as a radical by extending the properties of integer exponents. (2 points) 2 to the 3 over 4 power, all over 2 to the 1 over 2 power a - the eighth root of 2 to the third power b - the square root of 2 to the 3 over 4 power c - the fourth root of 2 d - the square root of 2

C - the fourth root of 2

First, we are going to write our expression in mathematical notation:

2 to the 3 over 4 power, all over 2 to the 1 over 2 power =

Now, we are going to use the law of exponents for division:

We can infer from our expression that , , and , so let's use our rule:

Finally, we are going to use the rule for fractional exponents:

Just like before, we can infer that and , so let's use our rule:

Or in words: the fourth root of 2.