Which of the following is an equivalent expression to 7(−5.3)0+4⋅9 when applying the Zero Power Rule? (1 point)
Responses
75.3+4⋅9
Start Fraction 7 over 5.3 End Fraction plus 4 times 9
75.30+36
Start Fraction 7 over 5.3 superscript 0 baseline End Fraction plus 36
71+4⋅9
Start Fraction 7 over 1 End Fraction plus 4 times 9
70+4⋅9
The equivalent expression to 7(−5.3)0+4⋅9 when applying the Zero Power Rule is 70+4⋅9.
When applying the Zero Power Rule, any number (except zero) raised to the power of zero equals 1. Therefore, the expression 7(-5.3)^0 + 4 * 9 is equal to 70 + 4 * 9.
To find the equivalent expression to 7(-5.3)^0 + 4 * 9 when applying the Zero Power Rule, we need to understand the Zero Power Rule first.
According to the Zero Power Rule, any non-zero number raised to the power of zero is equal to 1. In other words, for any number a (where a ≠ 0), a^0 is equal to 1.
Now, let's apply the Zero Power Rule to the given expression:
7(-5.3)^0 + 4 * 9
Since (-5.3)^0 is raised to the power of zero, we can simplify it to 1:
7 * 1 + 4 * 9
Now, we can simplify the expression:
7 + 36
Therefore, the equivalent expression after applying the Zero Power Rule is:
71 + 4 * 9.
So, the correct answer is 71 + 4 * 9.