Question

64¹/6*216¹/3*81¼/512⅓*16¼*9½

Answer 1

${64}^{ \frac{1}{2} } \times {216}^{ \frac{1}{3} } \times {81}^{ \frac{1}{4} } \times {512}^{ \frac{1}{3} } \times {16}^{ \frac{1}{4} } \times {9}^{ \frac{1}{2} } \\ \\ \Longrightarrow {8}^{\cancel2 \times \frac{1}{\cancel2} } \times {6}^{\cancel3 \times \frac{1}{\cancel3} } \times {3}^{\cancel4 \times \frac{1}{\cancel4} } \times {8}^{\cancel3 \times \frac{1}{\cancel3} } \times {2}^{\cancel4 \times \frac{1}{\cancel4} } \times {3}^{\cancel2 \times \frac{1}{\cancel2} } \\ \\ \Longrightarrow8 \times 6 \times 3 \times 8 \times 2 \times 3 \\ \\ \large\underline{ \boxed{ \red{ \Longrightarrow6912}}}$