Question

Calculate or exponential form: 49³/²

Answer 1

To calculate (49)^(3/2), we first take the square root of 49, which is 7, and then cube the result to obtain 343.

Step-by-step explanation:

To calculate (49)^(3/2) in exponential form, we can break down the process into two steps: taking the square root of 49 and then cubing the result.

Step-by-Step Calculation:

• First, we find the square root of 49, which is also denoted as 49^(1/2). Since 49 is 7 squared (7 x 7 = 49), the square root of 49 is 7.
• Then, we take this result (7) and cubing of exponentials comes into play. We raise 7 to the 3rd power, which is like 7 x 7 x 7.
• Calculating 7 cubed (7^3) we get 343.
• The final result is (49)^(3/2) = 343.