A rectangle has a length of the cube root of 81 inches and a width of 3 to the 2 over 3 power inches. Find the area of the rectangle.
A 3 to the 2 over 3 power inches squared
B 3 to the 8 over 3 power inches squared
C 9 inches squared
D9 to the 2 over 3 power inches squared
I think it's C but I'm not really sure. Can someone explain to me?
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OpenStudy (egbeach):
the formula for area is length x width
OpenStudy (pandaecat):
@egbeach I know that... but I just don't get how u simply the thing
OpenStudy (egbeach):
\[\sqrt[3]{81} \times 3^{\frac{ 2 }{ 3 }}\]
OpenStudy (egbeach):
thats the equation right?
OpenStudy (pandaecat):
Yes
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OpenStudy (egbeach):
well whats \[\sqrt[3]{81}\]
OpenStudy (pandaecat):
81 and one third
OpenStudy (egbeach):
\[81^{\frac{ 1 }{ 3}}\times 3^{\frac{ 2 }{ 3}}\]
OpenStudy (egbeach):
are you able to solve that?
OpenStudy (pandaecat):
Um er a moment
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OpenStudy (egbeach):
it should work if you plug it into a calculator correctly
OpenStudy (pandaecat):
54???
OpenStudy (egbeach):
ummm no... the answer is actually 9 so you were right