Which of the following is an equivalent expression to 7(−5.3)0+4⋅9 when applying the Zero Power Rule? (1 point)
Responses
75.30+36
Start Fraction 7 over 5.3 superscript 0 baseline End Fraction plus 36
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
75.3+4⋅9
Start Fraction 7 over 5.3 End Fraction plus 4 times 9
The correct answer is: 75.3+4⋅9
To apply the Zero Power Rule, we need to know that any number (except 0) raised to the power of 0 is equal to 1.
So, the expression 7(-5.3)^0 + 4⋅9 can be simplified as follows:
First, we evaluate (-5.3)^0 = 1 (using the Zero Power Rule).
Now the expression becomes:
7(1) + 4⋅9
Multiplying, we have:
7 + 36
Therefore, an equivalent expression to 7(-5.3)^0 + 4⋅9 when applying the Zero Power Rule is 7 + 36.
To apply the Zero Power Rule, we need to understand the rule itself. The Zero Power Rule states that any number raised to the power of zero 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, according to the Zero Power Rule, it becomes 1.
So, the expression simplifies to: 7 * 1 + 4 * 9.
Now, we can calculate the expression further: 7 + 36.
Therefore, the equivalent expression is 75 + 36.
So, the correct response is: 75.30 + 36.