Final answer:
To rewrite the expression with rational exponents, convert the square root into a fractional exponent. The domain of the function P(t) = √t-3/4t - 20 is t ≥ 3.
Step-by-step explanation:
To rewrite the expression with rational exponents, we need to convert the square root into a fractional exponent.
So, 3 10 √n can be written as 3 (1/10)n.
The domain of the function P(t) = √t-3/4t - 20 is determined by the values of t that make the expression inside the square root non-negative.
This means that t - 3 must be greater than or equal to 0, so t ≥ 3.
The domain of the function is t ≥ 3.