### Present Remotely

Send the link below via email or IM

• Invited audience members will follow you as you navigate and present
• People invited to a presentation do not need a Prezi account
• This link expires 10 minutes after you close the presentation

Do you really want to delete this prezi?

Neither you, nor the coeditors you shared it with will be able to recover it again.

# Rules of Exponents

break down all the rules of working with exponents so students can see WHY the rules work
by

## Katherine McDonald

on 9 July 2010

Report abuse

#### Transcript of Rules of Exponents

rule 1: x^a * x^b = x^(a+b) example: 2^2 * 2^3 = (2*2)*(2*2*2) = 2^5 = 2^(2+3)
rule 2: x^a / x^b = x^(a-b) example: 5^4 / 5^2 = (5*5*5*5)/(5*5) = 5^2 = 5^(4-2) rule 3: (x^a)^b = x^(a*b) EXPONENTS rules of example: (3^2)^3 = {3^2)*{3^2)*(3^2) =
(3*3)*(3*3)*(3*3) = 3^6 = 3^(2*3) rule 4: (xy)^a = x^a * y^a example: {5x)^4 = {5x)*{5x}*(5x)*(5x) = 5*5*5*5*x*x*x*x = 5^4 * x^4 rule 5: (x/y)^a = (x^a)/(y^a) example: (2/7)^3 = (2/7)*{2/7)*(2/7)=
2*2*2*(1/7)*(1/7)*(1/7) = (2^3)*(1/7)^3 = (2^3)/(7^3) rule 6: x^-a = 1/(x^a) example: 2^-2 = 1/(2^2) = 1/(2*2) = 1/4 note: negative exponents mean to take the inverse (reciprocal) of the base...
not to produce a negative answer rule 7: x^0 = 1 example: 1,000,000^0 = 1 how?
5^4 / 5^4 = 5^(4-4) = 5^0 =1
5^4 / 5^4 = (5*5*5*5) / (5*5*5*5) =1 try: 4^2 * 4^10 = 4^(2+10)= 4^12 try: 3^6 / 3^3 = 3^(6-3) = 3^3 try: (2x)^4 = 2^4 * x^4 try: (x/6)^2 = (x^2) / (6^2) try: 4^-6 = 1/ (4^6) try: 6^0 =1 try: (3^4)^2 = 3^(4*2) = 3^8 = a power of
to the X degree E base exponent
Full transcript