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anonymous
 one year ago
What is the missing exponent?
[ ]
(2^5) =2^15
The missing exponent is in the brackets, I just need help finding it.
anonymous
 one year ago
What is the missing exponent? [ ] (2^5) =2^15 The missing exponent is in the brackets, I just need help finding it.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0After this one, I have one more question if your willing to help out.

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1Say the missing exponent = x. Then... \[(2^{5}) (x) = 2^{15}\] we can find x by dividing the two given exponents. \(\dfrac{2^{15}}{2^{5}}\) When dividing exponents, the powers subtract eachother. \(\dfrac{x^m}{x^{n}} = x^{mn}\)

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1Do you see what I mean?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yea ok, I get it now

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1What did yu get as the missing exponent?

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1Okay. Lets solve for \(\dfrac{2^{15}}{2^{5}}\) first. What is \(2^{15+5} =~?\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.02^10 also, how do you get the power of numbers without the ^

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1Yes, you are right, it is 5, but remember our rule? \(\large \dfrac{2^{15}}{2^{5}} = 2^{15 (5)}= 2^{15 + 5}\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh yea, so it is 2^10 ok

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1Remember, 2 negatives make a positive :D

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1Mmhmm, it's 2\(^{10}\)

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1So do you agree that if \(x=2^{10}\), that \((2^{5})(2^{10}) = 2^{15}\)?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes, so then in the blank, I would put 2^10

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1Yes :D \(\checkmark\)
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