For this case we must write a power between (340,345)
We chose 343.
We divide the number until we get an exact division:
[tex]\frac {343} {2} = 171.5\\\frac {343} {3} = 114.3\\\frac {343} {4} = 85.75\\\frac {343} {5} = 68.6\\\frac {343} {6} = 57.17\\\frac {343} {7} = 49\\[/tex]
So we have:
[tex]7 ^ n = 343\\n = 3[/tex]
So, the power is:
[tex]7 ^ 3 = 7 * 7 * 7 = 49 * 3 = 343[/tex]
ANswer:
[tex]7 ^ 3 = 7 * 7 * 7 = 49 * 3 = 343[/tex]
