1.Write 4x4x4x4x4 as a power of 4.

Answer: 4^5

2. Evaluate. 72 divide 8-9 divide 3

Answer: 0

3. Give the place value for the indicated digit 8 in the number 138,350

Answer: Thousands

4. Fencing a rectangular field that measures 37 ft by 27 ft How much fence should i buy?

Answer: 128 ft

5. Using the numbers 1 and 3 show another way of writing 1/3

answer: 1 divide 3

6. divide 4 1/5 by 3 1/7 write the reult in simplest form

answer: 1 37/110

7. which of the numbers are composite?
23, 28, 33, and 47

answer: 28 and 33

8. greatest common factor of 18, 30, and 45

answer: 3

9. Divid $44,832 Divide $3,736/month, be sure to attach the proper units

answer:
12 months

10. 43 half gallon of milk in his store what is the amount of milk as a mixed number of gallons?

answer: 21 1/2 gal

11. Find the reciprocal of 2 1/3

answer: 3/7

12. list the factors of the number 14

answer 1, 2, 7, 14

Correct.

Great job! Your answers are correct. If you have any more questions, feel free to ask.

To find the solution for each question, here are the step-by-step explanations:

1. To express 4x4x4x4x4 as a power of 4, you need to find the common base and the exponent that represents the number of factors. In this case, the common base is 4 and there are 5 factors. Therefore, 4x4x4x4x4 can be written as 4^5.

2. To evaluate 72 ÷ 8 - 9 ÷ 3, follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and finally addition and subtraction (from left to right). In this case, there are no parentheses or exponents. So, you should start by dividing 72 by 8, which equals 9. Then, divide 9 by 3, which equals 3. Finally, subtract 3 from 9, which gives you the answer 6.

3. To determine the place value for the digit 8 in the number 138,350, you need to identify the position of the digit. The digit 8 is in the thousands place, as it is followed by three digits (350).

4. To calculate the amount of fence needed to enclose a rectangular field measuring 37 ft by 27 ft, you need to find the perimeter. The formula to calculate the perimeter is P = 2L + 2W, where P is the perimeter, L is the length, and W is the width. In this case, the length (L) is 37 ft and the width (W) is 27 ft. Plugging these values into the formula, you get P = 2(37) + 2(27) = 74 + 54 = 128 ft. So, you need 128 ft of fence.

5. To show another way of writing 1/3 using the numbers 1 and 3, you can use the division symbol ("/"). So, 1/3 can be written as 1 ÷ 3.

6. To divide 4 1/5 by 3 1/7 and write the result in simplest form, you need to convert the mixed numbers into improper fractions. 4 1/5 can be written as (4 * 5 + 1) / 5 = 21/5, and 3 1/7 can be written as (3 * 7 + 1) / 7 = 22/7. Then, you divide the fractions by multiplying the first fraction by the reciprocal of the second fraction. So, (21/5) ÷ (22/7) becomes (21/5) * (7/22) = 1 37/110.

7. To determine which numbers among 23, 28, 33, and 47 are composite, you need to identify which numbers are divisible by numbers other than 1 and itself. Composite numbers have more than two factors. From the given numbers, 28 and 33 are divisible by numbers other than 1 and itself. Therefore, 28 and 33 are composite numbers.

8. To find the greatest common factor (GCF) of 18, 30, and 45, you list the factors of each number and identify the largest factor that is common to all three. The factors of 18 are 1, 2, 3, 6, 9, and 18. The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. The factors of 45 are 1, 3, 5, 9, 15, and 45. The largest factor that is common to all three numbers is 3, so the GCF is 3.

9. To divide $44,832 by $3,736/month and determine the number of months, you divide the total amount by the amount per month. So, $44,832 ÷ $3,736/month = 12 months. Therefore, it would take 12 months to divide the total amount of money.

10. To find the amount of milk in gallons given 43 half-gallons, you need to divide the number of half-gallons by 2. So, 43 ÷ 2 = 21.5. This means there are 21 and a half gallons of milk.

11. To find the reciprocal of 2 1/3, you need to invert the fraction. The reciprocal of a number is the multiplicative inverse, so the reciprocal of 2 1/3 is 3/7.

12. To list the factors of the number 14, you need to find all the numbers that divide evenly into 14. The factors of 14 are 1, 2, 7, and 14.

What is 10 to the power of 4?

One kilometer is equal to 1,000 meters. What fractional part of a kilometer is 700 meters? Simplify your result.