Question Which of the following shows the correct process of solving −4(3+12^0)+15^0 by generating an equivalent expression using the Zero Power Rule?
To solve −4(3+12^0)+15^0 using the Zero Power Rule, we need to simplify the exponent expressions 12^0 and 15^0 first.
The Zero Power Rule states that any non-zero number to the power of 0 is equal to 1.
So, we can rewrite the expression as −4(3+1)+1.
Next, we simplify the expression inside the parentheses.
3+1 equals 4, so we have −4(4)+1.
Finally, we multiply −4 by 4 and add 1, giving us the final answer of -16+1.
To solve the expression −4(3+12^0)+15^0 using the Zero Power Rule, follow these steps:
Step 1: Simplify exponents:
Since any number raised to the power of zero is equal to 1, simplify 12^0 and 15^0.
12^0 = 1
15^0 = 1
Step 2: Substitute the simplified values back into the expression:
−4(3+1)+1
Step 3: Simplify the addition inside the parentheses:
−4(4)+1
Step 4: Perform multiplication:
−16 + 1
Step 5: Simplify the subtraction:
−15
Therefore, the expression −4(3+12^0)+15^0 simplified using the Zero Power Rule is equal to −15.