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

Question

asked May 22, 2020 112k views

1 Answer

Kuba Birecki · Answer 1 · 2020-05-28T03:09:51+0000

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

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