Question

Write the following in exponential form:

\[\left( \frac{3}{2} \right)^{- 1} \times \left( \frac{3}{2} \right)^{- 1} \times \left( \frac{3}{2} \right)^{- 1} \times \left( \frac{3}{2} \right)^{- 1}\]

Answer 1

\[\left( \frac{3}{2} \right)^{- 1} \times \left( \frac{3}{2} \right)^{- 1} \times \left( \frac{3}{2} \right)^{- 1} \times \left( \frac{3}{2} \right)^{- 1} = \left( \frac{3}{2} \right)^{- 1 + \left( - 1 \right) + \left( - 1 \right) + \left( - 1 \right)} \left\{ a^m \times a^n = a^{m + n} \right\}\]
\[ = \left( \frac{3}{2} \right)^{- 4} \]