To write 7 √x-5 as an expression with rational exponents, we need to find a rational number that when raised to a power will give us the square root of x-5. One way to do this is to use the identity (a^(1/b))^b = a where a and b are rational numbers.
So, we can write 7 √x-5 as (7^(1/2))(x-5)^(1/2)
another way to write it is 7(x-5)^(1/2)^2
So, 7 √x-5 = 7(x-5)^(1/2)^2 or (7^(1/2))(x-5)^(1/2)