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gabbyalicorn
 one year ago
Which value of b solves the equation?
gabbyalicorn
 one year ago
Which value of b solves the equation?

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gabbyalicorn
 one year ago
Best ResponseYou've already chosen the best response.0I'm sorry! I don't want to be a burden on you but, @Luigi0210 could you help me with some more problems, please? :3

Luigi0210
 one year ago
Best ResponseYou've already chosen the best response.1Oh, that should be simple. Do you know what to do when you encounter a negative exponent?

Luigi0210
 one year ago
Best ResponseYou've already chosen the best response.1The rule says, when you have a negative exponent you are allowed to flip it to make it positive. Sound familiar?

gabbyalicorn
 one year ago
Best ResponseYou've already chosen the best response.0I thought thats only with 5(5) ? They cancel out.

Luigi0210
 one year ago
Best ResponseYou've already chosen the best response.1That's a different rule (: But what I mean, is, let's say you have something like \(\Large 5^{2} \), you are allowed to flip it so that negative 2 is positive again, like so: \(\huge \frac{1}{5^2} \) And the opposite can be done as well

gabbyalicorn
 one year ago
Best ResponseYou've already chosen the best response.0Oh, that...I've seen that before...

gabbyalicorn
 one year ago
Best ResponseYou've already chosen the best response.0But I don't get the B part, tho.

Luigi0210
 one year ago
Best ResponseYou've already chosen the best response.1B is just a variable, like x, that you have to solve, so let's solve it: So let's flip everything to make that exponent positive \(\Large \frac{1}{b^3} = 216 \) Now, let's get rid of that cube: \(\Large (\frac{1}{b^3})^{1/3}=(216)^{1/3}\) Which leaves us with \(\Large \frac{1}{b} = 6\) make sense so far?

Luigi0210
 one year ago
Best ResponseYou've already chosen the best response.1What are you confused on?

gabbyalicorn
 one year ago
Best ResponseYou've already chosen the best response.0What's the 1/3 suppose to represent? The exponent. If it is. did u do anything to the 216? (like subtract or divide)

Luigi0210
 one year ago
Best ResponseYou've already chosen the best response.1Wait, I think I made an error, I wasn't suppose to flip that 1/216. Sorry, it'll just be \(\Large \frac{1}{b}=\frac{1}{216} \) And yes, that 1/3 is considered an exponent in this certain problem. The 216, I took the cubic root of it along with the 1/b^3

Luigi0210
 one year ago
Best ResponseYou've already chosen the best response.1\(\Large \frac{1}{b^3} =\frac{1}{216} \) \(\Large (\frac{1}{b^3} )^{1/3} = (\frac{1}{216})^{1/3}\) \(\Large \frac{1}{b} =\frac{1}{6} \) Now flip them: \(\Large b=6 \) Which, if you plug it in, would make the statement true

Luigi0210
 one year ago
Best ResponseYou've already chosen the best response.1Sorry if I went a bit quick >><

gabbyalicorn
 one year ago
Best ResponseYou've already chosen the best response.0No worries! :) Is the problem asking what number (b) equals to 216

Luigi0210
 one year ago
Best ResponseYou've already chosen the best response.1Yes, which is the same as 1/216, which would be 6 with that negative exponent.

gabbyalicorn
 one year ago
Best ResponseYou've already chosen the best response.0but couldn't we just do 216 ÷ 2 and then we will find out what b equals

gabbyalicorn
 one year ago
Best ResponseYou've already chosen the best response.0oh, b is suppose to equal to 6?

Luigi0210
 one year ago
Best ResponseYou've already chosen the best response.1Yea, 6^3=216, and 6^{3} = 1/216

gabbyalicorn
 one year ago
Best ResponseYou've already chosen the best response.0oooooooooooh! The answer is 6!

Luigi0210
 one year ago
Best ResponseYou've already chosen the best response.1Yea, I even showed you how to solve it <,<

gabbyalicorn
 one year ago
Best ResponseYou've already chosen the best response.0:o ^///^ sorry! I just started to get it cX
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