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
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
75.30+36
Start Fraction 7 over 5.3 superscript 0 baseline End Fraction plus 36
To apply the Zero Power Rule, any number raised to the power of zero is equal to 1.
Therefore, an equivalent expression to 7(-5.3)^0 + 4⋅9 is:
7(1) + 4⋅9
Which simplifies to:
7 + 36
So the correct answer is:
71+4⋅9
Which of the following is an equivalent expression to 12(9−70)+(−29)0? (1 point)
Responses
12(2)+1
Start Fraction 1 over 2 End Fraction left parenthesis 2 right parenthesis plus 1
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 plus 1
12(9−1)−1
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 1 right parenthesis minus 1
The Zero Power Rule states that any nonzero number raised to the power of zero is equal to 1. In this case, 7 raised to the power of 0 is equal to 1. So, to apply the Zero Power Rule to the expression 7(-5.3)^0 + 4 * 9, we can simplify the (-5.3)^0 part.
Since any number raised to the power of 0 is equal to 1, (-5.3)^0 is equal to 1. Therefore, we can rewrite the expression as:
7 * 1 + 4 * 9
Simplifying further:
7 + 4 * 9
This simplifies to:
7 + 36
Therefore, the equivalent expression when applying the Zero Power Rule is:
71 + 4 * 9
To apply the Zero Power Rule, we need to understand that any non-zero number raised to the power of zero is equal to 1.
In the given expression, we have 7(-5.3)^0 + 4 * 9.
Since (-5.3)^0 equals 1, we can simplify the expression by replacing (-5.3)^0 with 1.
So, the equivalent expression would be 7 * 1 + 4 * 9.
Simplifying further, we have 7 + 36 = 43.
Therefore, the equivalent expression to 7(-5.3)^0 + 4 * 9, when applying the Zero Power Rule, is 43.