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
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
The correct answer is 12(9−1)+1. To simplify the expression, we first evaluate the parentheses: (9−1), which equals 8. Then, we multiply 12 by 8, giving us 96. Finally, we add 1 to 96, resulting in the expression 12(9−1)+1.
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(2)+1
Start Fraction 1 over 2 End Fraction left parenthesis 2 right parenthesis plus 1
12(9−1)−1
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 1 right parenthesis minus 1
12(9−1)+1
Which of the following shows the correct process of solving −4(3+120)+150 by generating an equivalent expression using the Zero Power Rule? (1 point)
Responses
−4(3+120)+150=−4(15)+1=−60+1=−59
negative 4 left parenthesis 3 plus 12 superscript 0 baseline right parenthesis plus 15 superscript 0 baseline equals negative 4 left parenthesis 15 right parenthesis plus 1 equals negative 60 plus 1 equals negative 59
−4(3+120)+150=−4(3+1)+1=−4⋅4+1=−4⋅5=−20
negative 4 left parenthesis 3 plus 12 superscript 0 baseline right parenthesis plus 15 superscript 0 baseline equals negative 4 left parenthesis 3 plus 1 right parenthesis plus 1 equals negative 4 times 4 plus 1 equals negative 4 times 5 equals negative 20
−4(3+120)+150=−4(3+1)+1=−4⋅4+1=−16+1=−15
negative 4 left parenthesis 3 plus 12 superscript 0 baseline right parenthesis plus 15 superscript 0 baseline equals negative 4 left parenthesis 3 plus 1 right parenthesis plus 1 equals negative 4 times 4 plus 1 equals negative 16 plus 1 equals negative 15
−4(3+120)+150 =−4(15)+15=−60+15=−45
To apply the Zero Power Rule, we can simplify any expression that has a number raised to the power of zero. In this case, we have 7(-5.3)^0 + 4 x 9.
According to the Zero Power Rule, any number raised to the power of zero is equal to 1. Therefore, (-5.3)^0 is equal to 1.
So, the expression becomes:
7(1) + 4 x 9.
Simplifying further, we have:
7 + 4 x 9.
Now we can perform the multiplication:
7 + 36.
Adding, we get:
43.
Therefore, the equivalent expression to 7(-5.3)^0 + 4 x 9 when applying the Zero Power Rule is 43.
To apply the Zero Power Rule, we need to understand that any number raised to the power of zero is equal to 1. In the given expression, we have 7 multiplied by (-5.3) raised to the power of zero. Since (-5.3)^0 is equal to 1, we can simplify the expression.
The original expression:
7(-5.3)^0 + 4 * 9
Step 1: Apply the Zero Power Rule
7 * 1 + 4 * 9
Step 2: Simplify the multiplication
7 + 36
Therefore, the equivalent expression after applying the Zero Power Rule is:
75 + 36
The correct answer is 75.3+4⋅9. When applying the Zero Power Rule, any number (except for 0) raised to the power of 0 equals 1. Therefore, 7(−5.3)0 can be simplified to 7(−5.3)(1), which is equal to -36.1. Adding 4 times 9 to that gives the expression 75.3+4⋅9.
The correct answer is:
−4(3+120)+150 =−4(15)+15=−60+15=−45
To solve the equation using the Zero Power Rule, we first evaluate the parentheses (3+120), which gives us 123. Then, we multiply -4 by 123, resulting in -492. Finally, we add 150 to -492 to get the equivalent expression: -4(3+120)+150 =−4(15)+15=−60+15=−45