# Exponentials, Multiplication, Division of Polynomials

See attached.

1. Evaluate the expression. Assume

2. Evaluate when y = -2

3. Evaluate when

4. Express the following using a positive exponent. Then simplify the expression . Write using a positive exponent do not evaluate

5. Express using a positive exponent =

6. Multiply and simplify =

7. Divide and simplify = Divide and write the expression using positive exponents

8. Simplify

a. d.

b. e. =

c. f.

9. Simplify

10. Simplify and assume =

11. Simplify =

12. Convert to scientific notation 0.000000394= (Use scientific notation. Use the multiplication symbol in the math palette as needed.)

13. Convert to decimal notation 5.424 x =

14. Multiply and write the result in scientific notation (2 x 10 ) (3 x 10 )= (Use scientific notation. Use the multiplication symbol in the math palette as needed.)

15. The mass of Pluto is about 1.31 x 10 metric tons. The mass of the sun is about 1.998 x 10 metric tons. About how many times the mass of Pluto is the mass of the sun? Give the answer in scientific notation. The mass of the sun is about _____ times the mass of Pluto.

16. Evaluate the polynomial for =

17. Total revenue is the total amount of money taken in by a business. An appliance firm that determines that when it sells x washing machines, the total revenue, R, in dollars, is given by the polynomial R = 284.51x - 0.2x . What is the total revenue from the sale of 209 washing machines? The total revenue is $________.

18. Collect like terms and then arrange them in descending order. =

19. Come Back

20. Identify the missing term in the polynomial. =

21. Add

22. Add =

23. Subtract =

24. Subtract =

25. Come Back

26. Multiply =

27. Multiply =

28. Multiply =

29. Multiply =

30. Multiply =

31. Complete the rectangle to illustrate this product =

32. Multiply =

33. Multiply = Type the terms in descending order

34. Multiply =

35. Multiply = Type the terms in descending order

36. Multiply =

37. Multiply =

38. Multiply =

39. Multiply = Type the terms in descending order

40. A launched rocket has an altitude, in meters, given by the polynomial , where is the height, in meters, from which the launch occurs, at velocity in meters per second, and is the number of seconds for which the rocket is airborne. If a rocket is launched from the top of a tower 50 meters high with an initial upward speed of 20 meters per second, what will the height be after 20 seconds? ________ meters (Round to the nearest tenth)

41. Collect like terms =

42. Add =

43. Subtract =

44. Multiply =

45. Divide and check. Write the answer using nonnegative exponents = (Simplify the answer. Type exponential notation using positive exponents).

46. Divide and Check. =

47. Divide =

48. Divide =

#### Solution Preview

Exercises are solved by using equation writer, so a large fraction of work is not visible here. Please refer attached word document for complete details.

Solutions

1. Evaluate the expression. Assume 1

2. Evaluate when y = -2

3. Evaluate when

4. Express the following using a positive exponent. Then simplify the expression . Write using a positive exponent do not evaluate

5. Express using a positive exponent

6. Multiply and simplify

7. Divide and simplify = Divide and write the expression using positive exponents

Solution

8. Simplify

a. =36 d. =36

b. = e. =-36

c. = f. =36

9. Simplify =

10. Simplify and assume

11. Simplify

12. Convert to scientific notation 0.000000394= (Use scientific notation. Use the multiplication symbol in the math palette as needed.) 0.000000394=

13. Convert to decimal notation 5.424 x =0.00000005424

14. Multiply and write the result in scientific notation (2 x 10 ) (3 x 10 )= (Use scientific ...

#### Solution Summary

It is complete excercise to explain addition, subtraction, multiplication and division of polynomials. Step by step explanation is provided for problems. There are about 48 excercises.