Question

Rewrite the radical as a rational exponent.

The fourth √ of (7) to the fifth power
a. (7⁵⁴
b. (720)
c. (7)
d. (7^4/5)

Answer 1

To rewrite the fourth root of 7 to a rational exponent, we convert it to 7^(1/4). Raising it to the fifth power yields 7^(5/4).

Step-by-step explanation:

To rewrite the radical as a rational exponent, we need to convert the fourth root of 7 to a fractional exponent. The fourth root can be written as 7^(1/4).

To raise it to the fifth power, we multiply the exponent by 5, resulting in (7^(1/4))^5.

Applying the exponent rule for raising a power to a power, we multiply the exponents, giving us 7^(5/4). So the answer is d. (7^4/5).