Which of the following shows the correct process of solving -4(3+12^0)+15^0 generating an equivalent expression using zero power rule
To showcase the correct process of solving -4(3+12^0)+15^0 and generating an equivalent expression using the zero power rule, we need to follow the order of operations (also known as PEMDAS/BODMAS).
The zero power rule states that any number raised to the power of zero is equal to 1.
Now let's break down the steps:
Step 1: Simplify any expressions within parentheses.
- The expression (3+12^0) only has one operation, which is raising 12 to the power of 0. By applying the zero power rule, we get: 12^0 = 1. Thus, we can simplify the expression inside the parentheses: (3 + 1) = 4.
Step 2: Perform the multiplication and division operations from left to right.
- In the given expression, the only multiplication is -4 times the simplified expression (3+12^0), which is now 4. Thus, -4 * 4 = -16.
Step 3: Perform the addition and subtraction operations from left to right.
- The final addition operation is -16 + 15^0. By applying the zero power rule, we get: 15^0 = 1. Thus, -16 + 1 = -15.
Therefore, the final equivalent expression of -4(3+12^0)+15^0 using the zero power rule is -15.