shows the correct process of solving −4(3+12^0)+15^0 by generating an equivalent expression using the Zero Power Rule

Answer 1

To solve the expression −4(3+12^0)+15^0 by generating an equivalent expression using the Zero Power Rule, we start by applying the Zero Power Rule, which states that any non-zero number raised to the power of zero is equal to 1.

Step 1: Simplify the exponent expressions within parentheses.
Start by simplifying 12^0. Since any non-zero number raised to the power of zero is 1, we have:
12^0 = 1

Step 2: Substitute the simplified expression into the original equation.
Substituting 1 for 12^0, we have:
−4(3+1)+15^0

Step 3: Simplify the addition within parentheses.
Adding 3 and 1, we get:
−4(4)+15^0

Step 4: Simplify the multiplication.
Multiply -4 by 4:
−16+15^0

Step 5: Apply the Zero Power Rule to simplify the exponent expression.
Since any non-zero number raised to the power of zero is 1, we have:
15^0 = 1

Step 6: Substitute the simplified expression into the equation.
Substituting 1 for 15^0, we have:
−16+1

Step 7: Simplify the subtraction.
Subtracting 16 from 1, we get:
−15

Therefore, the solution to the expression −4(3+12^0)+15^0 by generating an equivalent expression using the Zero Power Rule is -15.