Question

order the following from least to greatest 16²⁵,8¹⁰⁰,3⁵⁰⁰,4¹⁰⁰,2⁶⁰⁰​

Answer 1

$16^{25} = 2^{100} \\8x^{100} = 2^{300} \\4^{100} = 2^{200}$

∴$2^{100} < 2^{200} < 2^{300} < 3^{500} < 2^{600}$