Question

find the multiplicative inverse of the following (5/7)-² ×(+5/7)⁴÷(5/7)³​

Answer 1

$( \frac{5}{7} ) {}^{ - 2} \times ( \frac{5}{7} ) {}^{4} \div ( \frac{5}{7} )$

$( \frac{5}{7} ) {}^{ - 2 + 4} \div ( \frac{5}{7} )$

$( \frac{5}{7} ) {}^{2} \div \frac{5}{7}$

$\frac{25}{49} \times \frac{7}{5}$

$\frac{5}{7}$

$Multiplicative \: inverse \: of \: \frac{5}{7} = \frac{7}{5}$

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Answer 2

Answer:

The answer will be 5/7.

(5/7)-² ×(+5/7)⁴÷(5/7)

(5/7)-²+⁴÷(5/7)³

(5/7)² ÷(5/7)³

25/49 ÷ 343/125

=7/5

The multiplicative inverse is 5/7