Question

Please simplify this​

Answer 1

Answer:

20/3

Step-by-step explanation:

$=\Large\frac{216^{\frac{2}{3}}-27^{\frac{1}{3}}×64^{\frac{1}{2}}}{36^{\frac{1}{2}}×(0.216)^{\frac{1}{3}}}$

$=\Large\frac{(6^{3})^{\frac{2}{3}}-(3^{3})^{\frac{1}{3}}×(4^{3})^{\frac{1}{3}}}{(6^{2})^{\frac{1}{2}}×(0.6^{3})^{\frac{1}{3}}}$

$=\Large\frac{6^{(\frac{6}{3})}-3^{(\frac{3}{3})}×4^{(\frac{3}{3})}}{6^{(\frac{2}{2})}×(0.6)^{(\frac{3}{3})}}$

$=\Large\frac{6^{2}-3×4}{6×0.6}$

$=\Large\frac{36-3×4}{3.6}$

$=\Large\frac{24}{3.6}$

$=\large\boxed{\frac{20}{3}}$

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Mark Brainliest, Thank you :)