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Mathematics 19 Online
OpenStudy (anonymous):

PLEASE HELP!!!!!! (problem below)

OpenStudy (anonymous):

OpenStudy (anonymous):

numerator = 7^(1/3+12) dnominator = 7^5/6

OpenStudy (anonymous):

first solve (1/3+1/2) =(2+3)/6 =5/6 so numerator = 7^(1/3+12) =7^5/6 dnominator = 7^5/6

OpenStudy (anonymous):

so is the final answer 7?

OpenStudy (anonymous):

since numerator and denominator are same so how can their quotient be 7

OpenStudy (anonymous):

so the final answer is 1?

OpenStudy (anonymous):

yup

OpenStudy (anonymous):

thanks :)

OpenStudy (anonymous):

yw

OpenStudy (anonymous):

\[\huge \frac{ \sqrt[3]{7}\sqrt{7}}{\sqrt[6]{7^5}}\] \[\huge =\frac{7^{\frac{1}{3}} \times 7^{\frac{1}{2}}}{7^{\frac{5}{6}}}\] \[\huge =\frac{7^{\frac{1}{3}+\frac{1}{2}}}{7^{\frac{5}{6}}}\] \[\huge =\frac{7^{\frac{2+3}{2 \times3}}}{7^{\frac{5}{6}}}\] \[\huge =\frac{7^{\frac{5}{6}}}{7^{\frac{5}{6}}}=7^{\frac{5}{6}-\frac{5}{6}}=7^0 =1\] Hence 1 is the correct answer of the given problem. @RosieF

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