Now we take some example to understand the order of operations with exponents-

Example 1: Find the result of following equation-

8 + (2 * 5) * 3

^{4}/ 9?

Solution: We use following steps to evaluate the result of given equation-

Step 1: First of all, we perform parenthesis and exponential operation-

8 + (2 * 5) * 3

^{4}/ 9,

=> 8 + (10) * 3

^{4}/ 9,

Step 2: After performing a parenthesis operation, now we have to perform exponential operations -

8 + 10 * 3

^{4}/ 9,

Here 3

^{4}is an exponential operation, so

=> 8 + 10 * 81 / 9,

Step 3: After first two steps, now we have to perform multiplication or Division Operations between data. For performing the multiplication or division operations, we traverse data from left to right. In between multiplication or division operations, if any operations come first, we perform that-

8 + 10 * 81 / 9,

=> 8 + 810 / 9,

=> 8 + 90,

Step 4: After first three operations, now we perform addition or subtraction operations on given equation. For performing the addition or subtraction operations we traverse from left to right-

8 + 90 = 98.

So, 8 + (2 * 5) * 3

^{4}/ 9 = 98.