1. Evaluating Exponents of Negative Numbers
An exponent is a number that tells how many times the base number is used as a factor. For example, 34 indicates that the base number 3 is used as a factor 4 times. To determine the value of 34, multiply 3*3*3*3 which would give the result 81.

2. Evaluating Exponents of Negative Numbers
If a negative number is raised to an even power, the result will be positive. (-2)4 = -2 * -2 * -2 * -2 = 16
If a negative number is raised to an odd power, the result will be negative. (-2)5 = -2 * -2 * -2 * -2 * -2 = -32

3. Evaluating Exponents of Negative Numbers
The negative number must be enclosed by parentheses to have the exponent apply to the negative term.
Note that (-2)4 = -2 * -2 * -2 * -2 = 16 and -24 = -(2 * 2 * 2 * 2) = -16
Exponents are written as a superscript number (e.g. 34) or preceded by the caret (^) symbol (e.g. 3^4).

4. Law Example xmxn = xm+n x2x3 = x2+3 = x5 xm/xn = xm-n
(xm)n = xmn
(x2)3 = x2×3 = x6
(xy)n = xnyn
(xy)3 = x3y3
(x/y)n = xn/yn
(x/y)2 = x2 / y2
x-n = 1/xn
x-3 = 1/x3

5. Raise integers to powers

6. Raise integers to powers

7. Raise integers to powers

8. Raise integers to powers

9. Apply the quotient of powers property to monomial algebraic expressions

10. Apply the quotient of powers property to monomial algebraic expressions

11. Apply the quotient of powers property to monomial algebraic expressions

12. Apply the quotient of powers property to monomial algebraic expressions

13. Apply the product of powers property to a monomial algebraic expression

14. Apply the product of powers property to a monomial algebraic expression

15. Apply the product of powers property to a monomial algebraic expression

16. Apply the product of powers property to a monomial algebraic expression

17. Evaluate a zero or negative power of an integer

18. Evaluate a zero or negative power of an integer

19. Evaluate a zero or negative power of an integer

20. Apply the power of a power property to a monomial algebraic expression

21. Apply the power of a power property to a monomial algebraic expression

22. Apply the power of a power property to a monomial algebraic expression

23. Apply the power of a power property to a monomial algebraic expression

24. Apply the power of a product property to a monomial algebraic expression

25. Apply the power of a product property to a monomial algebraic expression

26. Apply the power of a product property to a monomial algebraic expression

27. Apply the power of a product property to a monomial algebraic expression