Asked by Gelo

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

Answers

Answered by Gelo
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
Answered by Gelo
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
Answered by Gelo
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
Answered by Gelo
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
Answered by GPT 3.5
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
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.