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anonymous
 one year ago
What is the value of the expression?
A.
9−48
B.
9−2
C.
92
D.
922
anonymous
 one year ago
What is the value of the expression? A. 9−48 B. 9−2 C. 92 D. 922

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Do you remember your exponent rules?\[a^b\times a^c = a^{b + c}\]\[\frac{a^b}{a^c}=a^{bc}\]So, try working this one step at a time.\[\frac{9^8}{9^{4}\times9^{10}}=\frac{9^8}{9^{4}}\times\frac{1}{9^{10}}\]Does this help?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Confusing... @Nnesha

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0What part is confusing you?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.01st write those exponents rules on a piece of paper(or notebook)!!!!!!!!PLEASE!!!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0huh i meant done as in im done writing them down

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0did you write all of them just in 2 minutes ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes i did ill show u

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0nice and then answer his/her question ^^^^ he/she will help you good luck!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0PLease excuse my handwriting

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0umm i guess she meant u had to help me @Calcmathlete

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0*thinking* I'm to stupid for her

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Alright. So, the first one. (\(a^b \times a^c = a^{b+c}\)). Let's do a smaller example so you can see what this means. \[2^3\times 2^2 = ?\]These numbers are small enough that we can do it by hand. \(2^3 = 8\) and \(2^2 = 4\), right? If we use this method, \(2^3\times2^2 = (8)\times(4) = 32\). However, if you notice, if we add the exponents instead, \(2^3 \times 2^2 = 2^{3 + 2} = 2^5 = 32\). Do you see what happened there?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0u did 2*2*2 which = 8 and then 2*2 which = 4 then u multiplied them and got 32

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0And if you're wondering why this works, think about it this way. When you have \(2^3\), what you're really doing is multiplying 2 by itself 3 times. So, \(2^3 = 2\times2\times2\). So, it should also make sense that \(2^3 \times2^2 = (2\times2\times2)\times(2\times2) = 2\times2\times2\times2\times2 = 2^5\) Does this part make sense?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok. Let's work on the original problem then. Work on it little by little. The entire thing is \[\frac{9^8}{9^{4}\times 9^{10}}\]So, let's work with the denominator first. Using what we did above (adding exponents), \(\large{9^{4} \times9^{10}=9^{?}}\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so would u subtract the exponents now or just multiply to get 40

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Well, adding a negative number is subtracting, technically. If we follow what we did above, you would add (4) to 10.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes. So, we can say that \(9^{4}\times9^{10} = 9^6\). From there, plug it back in and move onto the second step. \[\frac{9^8}{9^{4}\times9^{10}} \rightarrow\frac{9^8}{9^6}\]Here, we're dividing instead of multiplying. So, what would you do with the exponents now if we follow the fact that \(\frac{a^b}{a^c}=a^{bc}\)?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0In other words, \(\large{\frac{9^8}{9^6}=9^{?}}\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0umm do i just use the exponents like 86 or something

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0cuz thats 2 so that means its c

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes. You're dividing, so you subtract the exponents. And yes, it is C. Good job.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I have 1 more question could u help me with it in a new post?
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