To solve the expression −4(3+12(0))+15(0) using the Zero Power Rule, we recognize that any non-zero number raised to the power of zero equals 1 (i.e.,
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Starting with the original expression:
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Applying the Zero Property:
So this simplifies to: -
Thus, it further simplifies to:
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Now, calculate:
Now let's look at the options to find the one that applies the Zero Power Rule and follows the calculations correctly.
The option which reflects using the Zero Power and arrives at the correct result seems to be:
−4(3 + 12^0) + 15^0 = −4(3 + 1) + 1 = −4(4) + 1 = −16 + 1 = −15
So the correct response is: −4(3 + 12^0) + 15^0 = −4(3 + 1) + 1 = −4(4) + 1 = −16 + 1 = −15.