Question

(125) raise to power 2/3 divided by (125) rIse to power 4/3 multiply(125) raise to power -1/3

Answer 1

Answer:

${125}^{ \frac{2}{3} } \div {125}^{ \frac{4}{3} } \times {125}^{ \frac{ - 1}{3} } = {5}^{3 \times {2 \div 3} } \div {5}^{ {3} \times {4 \div 3} } \times {5}^{3 \times - 1 \div 3 } = {5}^{2} \div {5}^{4} \times {5}^{ - 1} = {5}^{2 - 4} \times {5}^{ - 1} = {5}^{ - 2} \times {5}^{ - 1} = {5}^{ - 2 + ( - 1)} = {5}^{ - 3} = \frac{1}{125}$