Question

simplify 3/7 Raised to the power 6 × 7/3 raised to the power 4 × 1/7 raised to the power -2​

Answer 1

Answer:

9

Step-by-step explanation:

${ (\frac{3}{7}) }^{6} \times {( \frac{7}{3} )}^{4} \times {( \frac{1}{7} )}^{ - 2} \\ = \frac{ {3}^{6} }{ {7}^{6} } \times \frac{ {7}^{4} }{ {3}^{4} } \times \frac{ {1}^{ - 2} }{ {7}^{ - 2} } \\ = {3}^{6} \times {7}^{ - 6} \times {7}^{4} \times {3}^{ - 4} \times 1 \times {7}^{2} \\ = {3}^{(6 - 4)} \times {7}^{ (- 6 + 4 + 2)} \times 1 \\ = {3}^{2} \times {7}^{0} \times 1 \\ = 9 \times 1 \times 1 \\ = 9$

hope you get your answer