Which of the following is an equivalent expression to 7(−5.3)0+4⋅9
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
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
70+4⋅9
The correct answer is 75.30+36. When applying the Zero Power Rule, any number raised to the power of 0 equals 1. Therefore, 7(-5.3)^0 is equal to 7(1) which is 7. So the expression simplifies to 7 + 4⋅9 = 7 + 36 = 43.
To apply the Zero Power Rule, any number (except 0) raised to the power of 0 is equal to 1. Therefore, the expression 7(−5.3)0+4⋅9 simplifies to:
75.3+4⋅9
To find an equivalent expression using the Zero Power Rule, we need to apply the rule that any number raised to the power of zero is equal to 1.
In the given expression, we have 7(-5.3)^0 + 4 * 9. According to the Zero Power Rule, (-5.3)^0 equals 1.
So, we can rewrite the expression as:
7(1) + 4 * 9
Simplifying further, we get:
7 + 36
Therefore, the equivalent expression is:
75 + 4 * 9