Final Answer:
The expression 5 √(x^7) can be written using rational exponents as:
A. 5x^(3.5)
Step-by-step explanation:
To express 5 √(x^7) using rational exponents, we can rewrite the square root as an exponent of 1/2. The expression becomes 5x^(7 * 1/2) = 5x^(3.5). Therefore, the correct choice is A. 5x^(3.5).
Rational exponents provide a concise way to represent roots. In this case, the square root is expressed as x^(1/2), and when multiplied by 7, it results in x^(7 * 1/2), which simplifies to x^(3.5).
This is a more compact and equivalent form of the expression, making it easier to work with and understand.