Question

Which is bigger? 92^7 or 3^81? Hint: can you write 9^27 as an exponential expression with a base of 3?​

Answer 1

Answer:

${3}^{81}$ is bigger.

Step-by-step explanation:

${9}^{27} = ( {3}^{2} )^{27} = {3}^{2 \times 27} = {3}^{54}$

If we compare the exponents of ${3}^{54}$ and ${3}^{81}$ it can be concluded that:

${3}^{81}$ > ${3}^{54}$