Final answer:
To evaluate the expression 6_(3_1)_5_1=17, calculate the value inside the parentheses, replace it in the expression, and perform the operations one by one.
Step-by-step explanation:
To get the answer of 17 in the expression 6_(3_1)_5_1=17, we need to evaluate the expression step-by-step. The first step is to calculate the value inside the parentheses (3_1), which means taking the root of 3 and raising it to the power of 1. This simplifies to 31 = 3. Next, replace (3_1) with its value in the expression, resulting in 6_3_5_1=17. Now, we can evaluate the expression from left to right by performing the operations one by one. Start with 6_3 = 2, then 2_5 = 10, and finally 10_1 = 10. Therefore, the answer to the expression is 10, not 17.