Mathematics
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OpenStudy (anonymous):
i need help with algebra II...can someone explain to me how to work this out?
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OpenStudy (anonymous):
OpenStudy (anonymous):
Can someone please help, i will give a metal, i just really want to understand this.
TheSmartOne (thesmartone):
Hi
OpenStudy (anonymous):
Hello :)
TheSmartOne (thesmartone):
Do you know this rule?
\(\sf\LARGE a^{\frac{1}{b}} = \sqrt[b]{a}\)
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OpenStudy (anonymous):
yeah kinda, i just know what ever number is one the outside is one bottom and whatever is one the inside is one top.....so technically yes
OpenStudy (anonymous):
on*
TheSmartOne (thesmartone):
so here we go :)
TheSmartOne (thesmartone):
\(\sf\Large \sqrt{x} \cdot \sqrt[4]{x} = x^{\frac{1}{2}} \cdot x^{\frac{1}{4}}\)
do you know the formula \(\sf \Large a^b \cdot a^c = a^{b+c}\)
OpenStudy (anonymous):
um, not really but when i look at the formula i can kinda guess what you are supposed to do...where did the x^1/2 come from?
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OpenStudy (anonymous):
oh wait nevermind i know where the ^1/2 came from
TheSmartOne (thesmartone):
so let's add the fractions
1/2 + 1/4 = ?
OpenStudy (anonymous):
i used the calculator on my computer and got .75, is that right or is it supposed to be 2/6
OpenStudy (anonymous):
actually is it 3/4, idk i feel like im overthinking this
TheSmartOne (thesmartone):
yup it's 3/4 :)
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TheSmartOne (thesmartone):
sorry, I was gone for so long. Was helping another person :P
TheSmartOne (thesmartone):
ok, now remember the first formula which I had posted?
I'm going to change it up a little :)
OpenStudy (anonymous):
it fine, im not in a rush
OpenStudy (anonymous):
ok!
TheSmartOne (thesmartone):
\(\bf\Huge a^{\frac{b}{c}} = \sqrt[c]{a^b}\)
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OpenStudy (anonymous):
4 raised to the square root of X^3
OpenStudy (anonymous):
Am i right?
TheSmartOne (thesmartone):
like this, you mean?
\(\bf \Huge \sqrt[4]{x^3}\)
OpenStudy (anonymous):
yes, like that i just dont know how to make it look like that on here :)
TheSmartOne (thesmartone):
mhmm
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TheSmartOne (thesmartone):
you can try to leave it as x^{3/4}
TheSmartOne (thesmartone):
x^(3/4) **
OpenStudy (anonymous):
ok! thank you so much, you helped me tons!
TheSmartOne (thesmartone):
Anytime! :D