Question

Which of the following is not equal to \[\left( \frac{- 3}{5} \right)^4 ?\]

Options

• \[\frac{( - 3 )^4}{5^4}\]

   

• \[\frac{3^4}{( - 5 )^4}\]

   

• \[- \frac{3^4}{5^4}\]

   

• \[\frac{- 3}{5} \times \frac{- 3}{5} \times \frac{- 3}{5} \times \frac{- 3}{5}\]

   

Answer 1

\[- \frac{3^4}{5^4}\]

\[\left( \frac{- 3}{5} \right)^4 = \frac{( - 3 )^4}{5^4} = \frac{3^4}{( - 5 )^4} = \frac{- 3}{5} \times \frac{- 3}{5} \times \frac{- 3}{5} \times \frac{- 3}{5}\]

\[\text{ It is not equal to }- \frac{3^4}{5^4}\]