Question

Simplify: (64)^-1÷6×(216)^-1÷3×(81)^1÷4÷(512)^-1÷3×(16)^1÷4×(9)^-1÷2

Answer 1

Step-by-step explanation:

${64}^{ - 1} \div 6 \times {216}^{ - 1} \div 3 \times {81}^{1} \div 4 \div {512}^{ - 1} \div 3 \times {16}^{1} \div 4 \times {9}^{ - 1} \div 2 = \\ \frac{1}{64} \times \frac{1}{6} \times \frac{1}{216} \times \frac{1}{3} \times 81 \times \frac{1}{4} \times 512 \times \frac{1}{3} \times 16 \times \frac{1}{4} \times \frac{1}{9} \times \frac{1}{2} = \\ \frac{663552}{214990848} = \\ \frac{1}{324}$