To answer the given : 5 to the 3 over 4 power, to the 2 over 3 power, we multiply the powers 3/4 and 2/3 equal to 2/4 or 1/2. This is the simplified power of the equation. Hence, the equation is simplified to 5 to the power of 1 over 2. or square root of 5. Answer is C.