Question

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 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

Answer 1

To apply the Zero Power Rule, we need to simplify the expression $7(-5.3{)}^0+4\cdot 9$.

According to the Zero Power Rule, any non-zero number raised to the power of 0 equals 1. Therefore, $(-5.3{)}^0=1$.

Now we can simplify the expression:

$$7(-5.3{)}^0+4\cdot 9=7(1)+4\cdot 9=7+36=43$$

Now let's evaluate each of the responses given:

1. 70 + 4⋅9 does not match.
2. Start Fraction 7 over 0 End Fraction plus 4 times 9 does not make sense and does not match.
3. 75.3 + 4⋅9 does not match.
4. Start Fraction 7 over 5.3 End Fraction plus 4 times 9 does not match.
5. 71 + 4⋅9 where $74=7+36$ so this one matches as well, but doesn't match previously calculated value.
6. 75.30 + 36 also doesn't match directly with the computed value.

None of the response options directly simplify to a clear equivalent expression to $43$.

It seems there is a misunderstanding or an error in response options. The simplest equivalent expression based on the calculations is to say:

43 can be represented as $7+36$ but it seems not to have matched with appropriate option. Hence a re-evaluation of options might be desirable as none seem to present itself as correct simplification effectively.