Question

What is the value of (3^6)^3

Answer 1

3 to the power of 6 is 729 and that to the power of three is 387420489

Answer 2

3^18

Explanation:

`(3^6)^3\\\\\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^(bc),\:\quad \:a\ge 0\\\left(3^6\right)^3=3^(6*\:3)\\\\=3^(6*\:3)\\\\=3^(18)\\\\=387420489`