Question 20

The greatest number among $$2^{300}, 3^{200}, 4^{100}, 2^{100} + 3^{100}$$ is

Solution
Share

$$4^{100}$$ can be written as $$2^{200}$$ which is less than $$2^{300}$$ .

$$2^{100}+3^{100}$$ < $$2(3^{100})$$ < $$3^{200}$$

Now we have to see which is greatest among $$2^{300}$$ & $$3^{200}$$ .
$$2^{300}$$ = $$2^{3^{100}}$$ = $$8^{100}$$
$$3^{200}$$ = $$3^{2^{100}}$$ = $$9^{100}$$

Therefore, $$3^{200}$$ is greatest among all.

View More Questions From Temporary

Create a FREE account and get:

  • Download Maths Shortcuts PDF
  • Get 300+ previous papers with solutions PDF
  • 500+ Online Tests for Free