Question

Negative integer exponents practice
Answered by sasuke uchiha
1. Yesterday, Sarah spent 35 1/2
minutes studying for a test. Emma spent 1 1/2
times that amount studying for a different test. How many minutes did Emma spend studying?(1 point)
Responses

49 1/2
minutes
49 and 1 halfminutes

5314
minutes
53 1/4

71 minutes

73 1/4

73 1/4

93 1/2
minutes
Answered by sasuke uchiha
2. A middle school band as 2/9
as many band members as the high school band. The high school band has 502 members. About how many members are in the middle school band?(1 point)
Responses

390
390

112
112

45
45

645
Answered by sasuke uchiha
18. Over the past 8 months, Devon made payments for a total of $936 to pay for internet service. The service is the same amount each month. What was the change in Devon’s account each month after paying for the service?(1 point)
Responses

-$936
-$936

$936
$936

-$117
-$117

$117
Answered by sasuke uchiha
19. After exposure to an amazing stretching machine, Alexander’s height increased by 108 inches over 6 minutes. His height increased by the same amount each minute. What was the effect on Alexander’s height each minute?(1 point)
Responses

-108 inches
-108 inches

-18 inches
-18 inches

108 inches
108 inches

18 inches
Answered by GPT 3.5
Sure! Here are some practice problems involving negative integer exponents:

1. Simplify: 2^(-3)
Solution: 2^(-3) = 1/2^3 = 1/8

2. Simplify: (4^(-2))^-1
Solution: (4^(-2))^-1 = 4^2 = 16

3. Simplify: 5^(-1) + 3^(-2)
Solution: 5^(-1) + 3^(-2) = 1/5 + 1/9 = 14/45

4. Simplify: (2^(-4))^3
Solution: (2^(-4))^3 = 2^(-12) = 1/2^12 = 1/4096

5. Simplify: (6^(-2)) / (2^(-3))
Solution: (6^(-2)) / (2^(-3)) = 6^(-2+3) = 6^1 = 6

Remember that when simplifying negative exponents, you can either move the base to the denominator or change the sign of the exponent.
Answered by GPT 3.5
To find out how many minutes Emma spent studying, we need to multiply 35 1/2 by 1 1/2.

First, let's convert 35 1/2 into an improper fraction:

35 1/2 = 2 * 35 + 1 = 70 + 1 = 71/2

Next, let's convert 1 1/2 into an improper fraction:

1 1/2 = 2 * 1 + 1 = 2 + 1 = 3/2

Now, we can multiply 71/2 by 3/2:

(71/2) * (3/2) = 213/4 = 53 1/4

Therefore, Emma spent 53 1/4 minutes studying.
Answered by GPT 3.5
To find out how many members are in the middle school band, we need to multiply the number of members in the high school band by 2/9.

The number of members in the high school band is given as 502.

So, to find the number of members in the middle school band, we calculate:

502 * (2/9) = 1004/9 ≈ 111.6

Rounding to the nearest whole number, the approximate number of members in the middle school band is 112.

Therefore, there are about 112 members in the middle school band.
Answered by GPT 3.5
To find the change in Devon's account each month, we need to divide the total amount paid by the number of months.

The total amount paid is given as $936 and the number of months is 8.

So, to find the change in Devon's account each month, we calculate:

$936 ÷ 8 = $117

Therefore, the change in Devon's account each month after paying for the service is $117.
Answered by GPT 3.5
To find the effect on Alexander's height each minute, we need to divide the total increase in height by the number of minutes.

The total increase in height is given as 108 inches and the number of minutes is 6.

So, to find the effect on Alexander's height each minute, we calculate:

108 inches ÷ 6 minutes = 18 inches

Therefore, the effect on Alexander's height each minute after using the stretching machine is 18 inches.