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:
- 70 + 4⋅9 does not match.
- Start Fraction 7 over 0 End Fraction plus 4 times 9 does not make sense and does not match.
- 75.3 + 4⋅9 does not match.
- Start Fraction 7 over 5.3 End Fraction plus 4 times 9 does not match.
- 71 + 4⋅9 where \(74 = 7 + 36\) so this one matches as well, but doesn't match previously calculated value.
- 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.
3 answers