Question

evaluate (5/9)^-7 × (9/5)^-4

PLEASE DO STEP BY STEP EXPLAINATION​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

=

$= \frac{ {7}^{7} }{ {9}^{7} \times {5}^{3} }$

Step-by-step explanation:

${( \frac{5}{7} )}^{ - 7} \times {( \frac{9}{5} )}^{ - 4 } \\ = \frac{7 \times 7 \times 7 \times 7 \times 7 \times 7 \times 7}{5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5} \times { \frac{5 \times 5 \times 5 \times 5}{9 \times 9 \times 9 \times 9} } \\ = ({ \frac{7}{9} })^{7} \times \frac{1}{ {5}^{3} }$

$= \frac{ {7}^{7} }{ {9}^{7} \times {5}^{3} }$