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
71+4⋅9
Start Fraction 7 over 1 End Fraction plus 4 times 9
70+4⋅9
Start Fraction 7 over 0 End Fraction plus 4 times 9
75.3+4⋅9
To apply the Zero Power Rule, we need to determine the value of anything raised to the power of zero. According to the Zero Power Rule, any number (except zero) raised to the power of zero equals 1.
In the expression 7(−5.3)0+4⋅9, the term (−5.3)0 can be simplified to 1. Therefore, the equivalent expression can be found by replacing (−5.3)0 with 1:
7(−5.3)0 + 4⋅9 = 7(1) + 4⋅9
Now we can simplify further:
7(1) + 4⋅9 = 7 + 36
Therefore, the equivalent expression to 7(−5.3)0+4⋅9 when applying the Zero Power Rule is 7 + 36.
To apply the Zero Power Rule, any number with an exponent of zero is equal to 1.
So, the expression 7(−5.3)0+4⋅9 becomes:
7(−5.3) + 4⋅9
This simplifies to:
75.3 + 36
Therefore, the equivalent expression is 75.3 + 36.