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Simplify
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\[\sqrt{5}\div \sqrt[3]{5}\]
I would use the laws of exponents
\[\frac{ 5^{^{1/2}} }{ 5^{^{1/3}}}\]
see how the bases are the same, ie the base is 5
we have a rule that states\[\frac{ a^b }{ a^c }=a ^{b-c}\]
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just remember top exponent minus the bottom exponent
so what is (1/2)-(1/3)
Wait, How did you get half?
square root is 1/2 power
Ahhh, ok So 1/2-1/3=1/6
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ok so this is your power, 5 is still your base 5 ^(1/6)
So \[5^{1/6}\]
yes
Alright! 2 more, and I'm done with my homework <3
Exponents confuse me
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exponents are fun, we use them in calculus every day.......
close this out and open a new thread
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