A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
Simplify 11 to the negative 4th power over 11 to the 8th power.
1 over 11 to the 12th power
1 over 11 to the 4th power
114
1112
anonymous
 one year ago
Simplify 11 to the negative 4th power over 11 to the 8th power. 1 over 11 to the 12th power 1 over 11 to the 4th power 114 1112

This Question is Closed

phi
 one year ago
Best ResponseYou've already chosen the best response.0\[ \frac{11^{4} }{11^8} \]

phi
 one year ago
Best ResponseYou've already chosen the best response.0can you rewrite the 11^4 so we get a +4 ? (remember how to do that ?)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i think it would be 1/11^4

phi
 one year ago
Best ResponseYou've already chosen the best response.0yes. so we now have \[ \frac{1}{11^4} \cdot \frac{1}{11^8} = \frac{1}{11^4\cdot 11^8}\]

phi
 one year ago
Best ResponseYou've already chosen the best response.011^4 means 11* 11*11*11 11^8 means 11*11*11*11* 11*11*11*11 what do we get when we multiply that all together?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you said when we multiply it together?

phi
 one year ago
Best ResponseYou've already chosen the best response.0I don't mean multiply it out and get a number. just show them being multiplied like this 11* 11*11*11 * 11* 11*11*11* 11* 11*11*11

phi
 one year ago
Best ResponseYou've already chosen the best response.0people use exponents to write that in shorthand. can you ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0umm idk what short hand is

phi
 one year ago
Best ResponseYou've already chosen the best response.0we have 11 times itself how many times ? 11* 11*11*11 * 11* 11*11*11* 11* 11*11*11

phi
 one year ago
Best ResponseYou've already chosen the best response.0and how do we show that using exponents?

phi
 one year ago
Best ResponseYou've already chosen the best response.0yes. notice that is easier to type than 11* 11*11*11 * 11* 11*11*11* 11* 11*11*11

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ohhh thats the answer to

phi
 one year ago
Best ResponseYou've already chosen the best response.0so here is what you have \[ \frac{11^{4} }{11^8}= \frac{ 1}{11^{4}\cdot 11^8}= \frac{1}{11^{12}} \]

phi
 one year ago
Best ResponseYou've already chosen the best response.0you should notice that 11^4 * 11^8 means 11* 11*11*11 * 11* 11*11*11* 11* 11*11*11 but it is faster to say: 4 11's and 8 11's is 12 11's in other words, notice the short cut: 4+8 =12 11^4 * 11^8 = 11^12

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0it takes up space ifyou write it out also

phi
 one year ago
Best ResponseYou've already chosen the best response.0the thing you should try to remember is when multiplying, you can add the exponents. that is the short cut they want you to learn.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so the answer is 1/11^12

phi
 one year ago
Best ResponseYou've already chosen the best response.0yes and if they were being trick the answer could also be 11^(12)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thanks again and i have like 2 or 3 more if you can still help it would be great
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.