Which of the following shows the correct process of solving −4(3+120)+150 by generating an equivalent expression using the Zero Power Rule?
A. −4 (3+12^0) + 15^0 = −4 (3+1) + 1 =−4⋅4+1=−16+1=−15
B. −4(3+12^0)+15^0=−4(3+1)+1=−4⋅4+1=−4⋅5=−20
C. −4(3+12^0)+15^0 =−4(15)+15=−60+15=−45
D. −4(3+12^0)+15^0=−4(15)+1=−60+1=−59
The correct process is:
−4(3+120)+150
Using the Zero Power Rule, 12^0 equals 1:
−4(3+1)+1
Simplifying inside the parentheses:
−4(4)+1
Multiplying -4 and 4:
−16+1
Adding -16 and 1:
−15
Therefore, the correct answer is A. −4(3+12^0)+15^0=−4(3+1)+1=−4⋅4+1=−16+1=−15.