Question

(81/16)^-3/4×(9/25)^3/2 ÷( 5/2)^-3​

Answer 1

Answer:

$(81/16)^-3/4×(9/25)^3/2 ÷( 5/2)^-3 \\ = (3 \div 2) {}^{4 \times - 3 \div 4} \times (3 \div 5) {}^{6} \div 2 \times 2 \div 5 \\ = {3}^{ - 3} \div {2}^{ - 3} \times {3}^{6} \div {5}^{6} \div 2 \times 2 \div 5 \\ = {3}^{ - 3 + 6} \div {2}^{ - 3 + 1 + 1} \div {5}^{6 + 1} \\ = {3}^{3} \div {2}^{ - 1} \div {5}^{7} \\ =( 27 \times 2) \div 78125 \\ = 54 \div 78125$

54/78125