Question

Which is greatest among following $2^{156},4^{79},{128}^{23}$ and $8^{54}$?

• A. $4^{79}$
• B. ${128}^{23}$
• C. $2^{156}$
• D. $8^{54}$

Answer 1

The correct option is D $8^{54}$

Solution -

$2^{156}\to 2^{156}$

$4^{79}\to 2^{2\times 79}\to 2^{158}$

${128}^{23}\to 2^{7\times 23}\to 2^{161}$

$8^{54}\to 2^{3\times 54}\to 2^{162}$

$8^{54}$ is greatest

D is correct.