Question 132

Find the value of $$\frac{(243)^\frac{n}{5}\times3^{2n+1}}{9^{n}\times3^{n-1}}$$

Solution

Expression : $$\frac{(243)^\frac{n}{5}3^{2n+1}}{9^{n}3^{n-1}}$$

= $$\frac{(3^5)^\frac{n}{5}\times3^{2n}\times3}{3^{2n}\times3^{n}\times3^{-1}}$$

= $$\frac{3^{n+2n}\times3}{3^{n+2n}\times3^{-1}}$$

= $$\frac{3^{3n}}{3^{3n}}\times3\times\frac{1}{\frac{1}{3}}$$

= $$3\times3=9$$

=> Ans - (B)


Create a FREE account and get:

  • Free SSC Study Material - 18000 Questions
  • 230+ SSC previous papers with solutions PDF
  • 100+ SSC Online Tests for Free

cracku

Boost your Prep!

Download App