Final answer:
To rewrite the expression 289¹⁄², calculate the square root of 289 which is 17, so it simplifies to the number 17.
Step-by-step explanation:
The student's question pertains to rewriting the expression 289¹⁄². This expression represents taking the square root of 289 since an exponent of ½ is equivalent to the square root. To rewrite the expression 289¹⁄², we need to calculate the square root of 289. The square of a number is the product of the number multiplied by itself. Since 17 * 17 equals 289, the square root of 289 is 17. Therefore, the expression 289¹⁄² can be rewritten as 17.