Question

Rewrite the expression (5x^45.44/5 × 0.5x^0.5) with rational exponents as a radical expression.

Answer 1

To rewrite the expression (5x^45.44/5 × 0.5x^0.5) with rational exponents as a radical expression, divide the coefficients and subtract the exponents of the variables. Finally, express the result as a radical expression.

Step-by-step explanation:

To rewrite the expression (5x45.44/5 × 0.5x0.5) with rational exponents as a radical expression, let's break it down step by step.

1. First, we simplify the expression by dividing the coefficients: 5/5 = 1.
2. Next, we subtract the exponents of the variables: 45.44 - 0.5 = 45.44 - 0.5 = 44.94.
3. Now, we can write the expression as a radical: √(x44.94).

Therefore, the expression (5x45.44/5 × 0.5x0.5) with rational exponents can be rewritten as √(x44.94).