Question
What index should the root form of the expression 12 5/8⋅12−1/2 have?(1 point)
Answers
GPT 3.5
To solve 12 5/8⋅12−1/2, we must first calculate the values of 12 5/8 and 12−1/2 separately, and then multiply them.
To find 12 5/8, we convert the mixed number to an improper fraction: 12 5/8 = (8*12 + 5)/8 = 101/8.
To find 12−1/2, we subtract 1/2 from 12: 12−1/2 = (12*2 - 1)/2 = 23/2.
Multiplying 101/8 and 23/2, we get (101/8) * (23/2) = 2323/16.
Therefore, the index (or value) of the root form of the expression is 2323/16.
To find 12 5/8, we convert the mixed number to an improper fraction: 12 5/8 = (8*12 + 5)/8 = 101/8.
To find 12−1/2, we subtract 1/2 from 12: 12−1/2 = (12*2 - 1)/2 = 23/2.
Multiplying 101/8 and 23/2, we get (101/8) * (23/2) = 2323/16.
Therefore, the index (or value) of the root form of the expression is 2323/16.