Which of the following is an equivalent expression to 7(−5.3)0+4⋅9 when applying the Zero Power Rule? (1 point)
7/5.3^0+36
7/0+4⋅9
7/5.3+4⋅9
7/1+4⋅9
The Zero Power Rule states that any non-zero number raised to the power of 0 is equal to 1.
Therefore, when applying the Zero Power Rule, the expression 7(−5.3)0+4⋅9 simplifies to:
7/1 + 4⋅9
This is equivalent to 7 + 36, which simplifies to:
43
So, the equivalent expression is 43.
To apply the Zero Power Rule, any number raised to the power of 0 is equal to 1. So, the expression can be simplified as follows:
7(−5.3)^0 + 4⋅9
Since (-5.3)^0 is equal to 1, the expression becomes:
7(1) + 4⋅9
This further simplifies to:
7 + 4⋅9
Which can be evaluated as:
7 + 36
So, the equivalent expression is:
43
Therefore, the correct answer is 7/1+4⋅9.