Mathematics
7 Online
OpenStudy (anonymous):
How do you evaluate the rational exponent of 121 1/2?
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OpenStudy (anonymous):
wait...did you mean 121^1/2 ?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
that would be 11.
OpenStudy (anonymous):
You have to think to yourself, "What two numbers can I multiply to get to 121?" the 1/2 power means find two numbers that multiply to get 121
OpenStudy (anonymous):
Find a number that, if you multiply it by itself, you get 121
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OpenStudy (anonymous):
11 x 11 = 121
OpenStudy (anonymous):
\[\sqrt{121}=11\]
OpenStudy (anonymous):
121 1/2
OpenStudy (anonymous):
Would that be considered a "real number"?
OpenStudy (anonymous):
Yes, 11 is a real number.
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OpenStudy (anonymous):
what do we do with the half when showing our work?
OpenStudy (anonymous):
Using the calculator it comes up with 11.02270384
OpenStudy (anonymous):
\[x^{1/2}=\sqrt{x}\]
OpenStudy (anonymous):
Some calculator has error.
OpenStudy (anonymous):
Google calc says the same answer
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OpenStudy (anonymous):
Can you tell me the website of Google calc?
OpenStudy (anonymous):
Did you enter it into the calculator correctly?
OpenStudy (anonymous):
\[\sqrt{121.5}=11.02270384\]
OpenStudy (anonymous):
\[\sqrt{121}=11\]
OpenStudy (anonymous):
I typed in 121 pressed the a b/c button then 1 followed by a b/c then 2 then pressed the square root button.
This resulted in the above number.
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OpenStudy (anonymous):
I think you should type 121, then press square root button, and get 11.
OpenStudy (anonymous):
121 1/2 is written as a fraction and not as an exponent. Would that make a diffence?
OpenStudy (anonymous):
oh, if you mean (121 1/2)^(1/2), the answer is 11.02
OpenStudy (anonymous):
\[121\frac{1}{2}\]?
OpenStudy (anonymous):
you want rewrite in fraction?