The correct answer is A: -4 (3 + 12^0) + 15^0 = -4(15) + 1 = -60 + 1 = -59
This is because in the expression -4(3+12^0) + 15^0, the first step is to simplify the exponent. The zero exponent rule states that any number (except 0) raised to the power of 0 is equal to 1. Therefore, 12^0 is equal to 1.
After simplifying the exponent, the expression becomes -4(3 + 1) + 15^0. Next, you can simplify the parentheses by adding 3 and 1, resulting in -4(4) + 15^0.
Finally, you can multiply -4 by 4 to get -16, and since any number (except 0) raised to the power of 0 is equal to 1, 15^0 is equal to 1. Therefore, the expression can be simplified to -16 + 1, which equals -15.
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?
A: -4 (3 + 12^0) + 15^0 = -4(15) + 1 = -60 + 1 = -59
B: -4 (3 + 12^0) + 15^0 = -4(3 + 1) + 1 = -4 x 4 + 1 = -16 + 1 = -15
C: -4 (3 + 12^0) + 15^0 = -4(3 + 1) + 1 = -4 x 4 + 1 = 4 x 5 = -20
D: -4 (3 + 12^0) + 15^0 = -4(15) + 15 = -60 + 15 = -45
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