# Operations and Exponents

Please see the attached file.

1. Simplify

(2x^3 y^3)^3

divided

9z^9

2. Perform the indicated operation. Write the answer in scientific notation.

12x10^5 divided (3x10^-2)

3. Rewrite as a base to a power, if possible

(9^5 xy)(9^4 x)(9^4 xyz)

4. Simplify

(7^3)^9

5. Translate the phrase to an algebraic expression

( six subtracted from five times a number)

6. Solve for the indicated variable

1+1= 1, for c

_______

a b c

the line represent a divide sign. Example I'm trying to say 1 over a , 1 over b, and 1 over c

7. Evaluate the function for the given value

find g(a+1) when g(x)=4x + 2.

8.Use the substitution methond to solve the system

4x -3 =7

y -4x=4

9. Solve the problem determine whether (-5,-1,-3) is a solution of the system. Answer YES OR NO

x+3y+3z=-17

2y+3z+-9

z+-1

10. Solve the problem determine whether (1,-5,1) is a solution of the system. Answer YES OR NO

5X + 4Y +Z+ -14

5X - 5Y -Z =29

4X + Y +3Z= 2

11. Multiply

(-4m^4 z^4)(5m^3 z^2)

12. Factor if possible

49t^2 -56t + 16

13. Factor if possible

1^6 -14a^3-32

14. Simplify, then write in descending order

8x^8+4x^2+7+7x^8-1

15. Factor by grouping

4r^2 +6ry-2xr-3xy

16. Write the slope intercept form of the equation for the line passing through the given pair of points.

(2,-3) and (6,-6)

17. Find two additonal points that lie on the line that passes through the given point and has slope M.

7,-7) m=0

18. Solve.

Mark the electrician charges $80 for a house call, and then $30 per hour for labor. Sara the electrician charges $65 for a house call, and then $40 per hour for labor. Write a cost equation for each electrician. Where y is the total cost of the electrical work and x is the number of hours of labor.

#### Solution Summary

There are many different problems regarding operations, exponents, and scientific notation