Which of the following is an equivalent expression to 7/(-5.3)⁰+4•9 when applying the zero power rule?
A. 7/0+4•9
B. 7/1+4•1
C. 7/5.3⁰+36
D. 7/5.3+4•9
The zero power rule states that any non-zero number raised to the power of zero is equal to 1. Therefore, when applying the zero power rule, (-5.3)⁰ is equal to 1.
So, the equivalent expression to 7/(-5.3)⁰+4•9 when applying the zero power rule is:
7/1 + 4•9
Simplifying further, we get:
7 + 4•9
This gives us 7 + 36.
Thus, the equivalent expression is:
7/(-5.3)⁰+4•9 = 7 + 36
The correct answer is:
B. 7/1+4•1
Which of the following is an equivalent expression to 1/2(9-7⁰)+(-29)⁰?
A. 1/2(2)+1
B. 1/2(9-1)-1
C. 1/2(9-0)+0
D. 1/2 (9-1)+1
To solve this problem, we need to apply the zero power rule and perform the operations according to the order of operations (parentheses, exponents, multiplication/division, addition/subtraction).
Firstly, we need to evaluate the expression inside the parentheses:
9 - 7⁰
The zero power rule tells us that any non-zero number raised to the power of zero is equal to 1. Therefore, 7⁰ is equal to 1.
So the expression inside the parentheses becomes:
9 - 1 = 8
Now we have:
1/2 * (8) + (-29)⁰
Next, we solve the exponent:
(-29)⁰ = 1
Now we have:
1/2 * 8 + 1
Simplifying further:
4 + 1 = 5
Therefore, the equivalent expression is:
1/2(9-7⁰)+(-29)⁰ = 5
None of the given options are equal to 5, so there seems to be a mistake in the options provided.
Which of the following is an equivalent expression to 1/2 (9-7⁰)+(-29)⁰?
A. 1/2 (2)+1
B. 1/2 (9-1)-1
C. 1/2 (9-0)+0
D. 1/2 (9-1)+1
Gelo
To solve this problem, we need to apply the zero power rule and perform the operations according to the order of operations (parentheses, exponents, multiplication/division, addition/subtraction).
First, let's simplify the expression inside the parentheses:
9 - 7⁰
The zero power rule states that any number (except zero) raised to the power of zero is equal to 1. Therefore, 7⁰ is equal to 1.
So the expression inside the parentheses becomes:
9 - 1 = 8
Now we have:
1/2 * 8 + (-29)⁰
Next, let's solve the exponent:
(-29)⁰ = 1
Now we have:
1/2 * 8 + 1
Simplifying further:
4 + 1 = 5
Therefore, the equivalent expression is:
1/2 (9-7⁰) + (-29)⁰ = 5
Among the given options, the correct one is:
D. 1/2 (9-1) + 1
Because:
1/2 (9-1) + 1 = 1/2 (8) + 1 = (4) + 1 = 5
So, the correct answer is D. 1/2(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)
A. −4(3+120)+150=−4(3+1)+1=−4⋅4+1=−4⋅5=−20
B. −4(3+120)+150 =−4(15)+15=−60+15=−45
C. −4(3+120)+150=−4(3+1)+1=−4⋅4+1=−16+1=−15
D. −4(3+120)+150=−4(15)+1=−60+1=−59
To solve the expression −4(3+120)+150 using the Zero Power Rule, we need to simplify the expression inside the parentheses first:
3+120 = 123
Now we have:
−4(123)+150
Next, we perform the multiplication:
−4 * 123 + 150
Now we need to perform the addition and subtraction:
−492 + 150
Finally, we simplify:
−342
Therefore, the correct process of solving the expression using the Zero Power Rule is:
−4(3+120)+150 = −342
None of the given options correctly show this process, so there is no correct option among the choices provided.
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)
A. −4(3+12⁰)+15⁰=−4(3+1)+1=−4⋅4+1=−4⋅5=−20
B. −4(3+12⁰)+15⁰=−4(15)+15=−60+15=−45
C. −4(3+12⁰)+15⁰=−4(3+1)+1=−4⋅4+1=−16+1=−15
D. −4(3+12⁰)+15⁰=−4(15)+1=−60+1=−59
To solve the expression −4(3+120)+150 using the Zero Power Rule, we need to simplify the expression inside the parentheses first:
3+12⁰
According to the Zero Power Rule, any non-zero number raised to the power of zero is equal to 1. Therefore, 12⁰ is equal to 1.
So the expression inside the parentheses becomes:
3+1 = 4
Now we have:
−4(4)+150
Next, we perform the multiplication:
−16 + 150
Finally, we simplify:
134
Therefore, the correct process of solving the expression using the Zero Power Rule is:
−4(3+120)+150 = 134
The correct option among the choices provided is C. −4(3+12⁰)+15⁰=−4(3+1)+1=−4⋅4+1=−16+1=−15.
To apply the zero power rule, we need to remember that any non-zero number raised to the power of zero is equal to 1.
Let's simplify the expression 7/(-5.3)⁰+4•9 using the zero power rule:
First, we evaluate (-5.3)⁰. Since any non-zero number raised to the power of zero is equal to 1, we have:
(-5.3)⁰ = 1
So the expression becomes:
7/1 + 4•9
Now, let's simplify further:
7/1 is equal to 7, since any number divided by 1 is equal to itself.
So, the expression becomes:
7 + 4•9
Next, we multiply 4 by 9:
4•9 = 36
Finally, we add 7 and 36:
7 + 36 = 43
Therefore, the correct equivalent expression, when applying the zero power rule, is:
43
None of the options A, B, C, or D in the question match this simplified expression.