Which of the following is an equivalent expression to 7/(−5.3)^0 + 4⋅9 when applying the Zero Power Rule? (1 point)
Responses
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
7/0+4⋅9
Start Fraction 7 over 0 End Fraction plus 4 times 9
7/5.3 + 4⋅9
Start Fraction 7 over 5.3 superscript 0 baseline End Fraction plus 4 times 9
You sure?
Apologies for the confusion. The correct equivalent expression when applying the Zero Power Rule is 7/1 + 4⋅9, which simplifies to 7 + 36.
Which of the following is an equivalent expression to 12(9−70)+(−29)0? (1 point)
Responses
12(9−0)+0
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 0 right parenthesis plus 0
12(9−1)−1
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 1 right parenthesis minus 1
12(9−1)+1
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 1 right parenthesis plus 1
12(2)+1
The correct equivalent expression to 12(9−70)+(−29)0 is 12(9−1)+1.
To find the equivalent expression using the Zero Power Rule, we need to raise (-5.3) to the power of 0. According to the Zero Power Rule, any number (except 0) raised to the power of 0 is equal to 1.
So, (-5.3)^0 = 1.
Now, we can substitute this value back into the original expression:
7/(−5.3)^0 + 4⋅9 = 7/1 + 4⋅9.
Simplifying further, we get:
7/1 + 4⋅9 = 7 + 4⋅9
Therefore, the equivalent expression is: 7 + 4⋅9.
To apply the Zero Power Rule, we need to know that any non-zero number raised to the power of zero is equal to 1.
In this expression, we have (-5.3)^0. According to the Zero Power Rule, this term evaluates to 1.
Therefore, an equivalent expression can be found by replacing (-5.3)^0 with 1.
So, the equivalent expression is 7/1 + 4 * 9.