Which of the following is an equivalent expression to 7(−5.3)0+4⋅9 when applying the Zero Power Rule?

Question

Which of the following is an equivalent expression to  7(−5.3)0+4⋅9  when applying the Zero Power Rule?
A. 75.3+4⋅9
B. 75.30+36
C. 70+4⋅9
D. 71+4⋅9

GPT 3.5 · Answer

The Zero Power Rule states that any nonzero number raised to the power of 0 is equal to 1.

In the expression 7(-5.3)0 + 4*9, the term (-5.3)0 is equivalent to 1.

Therefore, the expression can be simplified as follows:

7*(-5.3)*0 + 4*9 = 7*(-5.3)*1 + 4*9 = 7*(-5.3) + 36.

So, the equivalent expression is B. 75.30+36.