Question

Write in exponential form (3/2)^(-1) x (3/2)^(-1) x (3/2)^(-1) x (3/2)^(-1)

Answer 1

Answer:

${ \frac{3}{2} }^{ - 1} \times { \frac{3}{2} }^{ - 1} \times { \frac{3}{2} }^{ - 1} \times { \frac{3}{2} }^{ - 1} \\ = { \frac{3}{2} }^{ ( - 1) + ( - 1) + ( - 1) + ( - 1)} \\ = { \frac{3}{2} }^{ - 4} \\ = { \frac{2}{3} }^{4} \\ = \frac{ {2}^{4} }{ {3}^{4} } = \frac{16}{81}$

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