Question

Write a power that has a value greater than 340 and less 345

Answer 1

For this case we must write a power between (340,345)

We chose 343.

We divide the number until we get an exact division:

`\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\\`

So we have:

`7 ^ n = 343\\n = 3`

So, the power is:

`7 ^ 3 = 7 * 7 * 7 = 49 * 3 = 343`

ANswer:

`7 ^ 3 = 7 * 7 * 7 = 49 * 3 = 343`