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) $\frac{-3}{5}\times \frac{-3}{5}\times \frac{-3}{5}\times \frac{-3}{5}$

Answer 1

(c) −(3⁴/5⁴)

${\left(\frac{-3}{5}\right)}^4=\frac{(-3{)}^4}{5^4}=\frac{3^4}{(-5{)}^4}=\frac{-3}{5}\times \frac{-3}{5}\times \frac{-3}{5}\times \frac{-3}{5}$
$\mathrm{It}\mathrm{is}\mathrm{not}\mathrm{equal}\mathrm{to}-\frac{3^4}{5^4}$.