Which of the following is an equivalent expression to 7(−5.3)0+4⋅9 when applying the Zero Power Rule? (1 point)
Responses
70+4⋅9
Start Fraction 7 over 0 End Fraction plus 4 times 9
71+4⋅9
Start Fraction 7 over 1 End Fraction plus 4 times 9
75.30+36
Start Fraction 7 over 5.3 superscript 0 baseline End Fraction plus 36
75.3+4⋅9
The correct answer is 75.3+4⋅9. When applying the Zero Power Rule, any number raised to the power of 0 is equal to 1. Therefore, 7(−5.3)0 simplifies to 7(−5.3)1, which is equivalent to 75.3. Then, adding 4 times 9 gives us the final expression 75.3+4⋅9.
To apply the Zero Power Rule, we need to simplify the expression:
7(−5.3)^0 + 4⋅9
According to the Zero Power Rule, any non-zero number raised to the power of zero is equal to 1. Therefore, (-5.3)^0 is equal to 1.
So, the expression simplifies to:
7(1) + 4⋅9
Which further simplifies to:
7 + 4⋅9
Now, we can perform the multiplication first:
7 + 36
Finally, we add:
43
Therefore, an equivalent expression to 7(−5.3)^0 + 4⋅9 when applying the Zero Power Rule is 43.