Final answer:
To find the value of (71³) using the shortcut method, find the cube of the last digit and the square of the remaining part of the number, then combine the results.
Step-by-step explanation:
To find the value of (71³) using the shortcut method, you can follow these steps:
- Start by finding the cube of the last digit, which is 1. 1³ = 1.
- Next, find the square of the remaining part of the number, which is 7. 7² = 49.
- Finally, combine the results from steps 1 and 2 to get the final value. In this case, it would be 1 followed by 49, so the value of (71³) is 7149.