Question:
Which of the following is not equal to $\left(\frac{-3}{5}\right)^{4} ?$
(a) $\frac{(-3)^{4}}{5^{4}}$
(b) $\frac{3^{4}}{(-5)^{4}}$
(c) $-\frac{3^{4}}{5^{4}}$
(d) $\frac{-3}{5} \times \frac{-3}{5} \times \frac{-3}{5} \times \frac{-3}{5}$
Solution:
(c) $-\frac{3^{4}}{5^{4}}$
$\left(\frac{-3}{5}\right)^{4}=\frac{(-3)^{4}}{5^{4}}=\frac{3^{4}}{(-5)^{4}}=\frac{-3}{5} \times \frac{-3}{5} \times \frac{-3}{5} \times \frac{-3}{5}$
It is not equal to $-\frac{3^{4}}{5^{4}}$.
Click here to get exam-ready with eSaral
For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.