Question

Simplify the following expression. 7^-5/6.7^-7/6. 1/491/141449

Answer 1

${7}^{ - \frac{5}{6} } \times {7}^{ - \frac{7}{6} } \\ = {7}^{ - \frac{5}{6} - \frac{7}{6} } \\ = {7}^{ - \frac{12}{6} } \\ = {7}^{ - 2} \\ = \frac{1}{ {7}^{2} } \\ = \frac{1}{49}$
The answer is 1/49