Question

Simplify the expression involving rational exponents. -((25)/(9))¹/(2))

Answer 1

To simplify the expression -((25)/(9))¹/(2)), raise the numerator and denominator to the power of 1/2. The square root of -25 is an imaginary number, and the square root of 9 is 3. Therefore, the simplified expression is (√(-25))/3.

Step-by-step explanation:

To simplify the expression -((25)/(9))¹/(2)), we can start by raising the numerator and denominator to the power of 1/2. This gives us (-25)^(1/2) / (9)^(1/2).

The square root of -25 is not a real number, so we have an imaginary number in the numerator. In the denominator, the square root of 9 is 3. Therefore, the simplified expression is (√(-25))/3.