solve this if a(powern)b(powern) then what is the valu of n?

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solve this if a(powern)b(powern) then what is the valu of n?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anyone solve this
the question is not clear can you use 'draw' or 'equation' to write the expression more precisely?
If I assume you have missed out an = sign then \[a ^{n}=b ^{n}\] Has to solutions: if a=b then it is true for all n if a/=b then you you can see that ANY number ^n is the same (because we don't know what a and b are) there is only one number n where \[x ^{n}\] has the same value for ALL values of x

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oops typo above ^^ "Has to solutions:" should be "Has two solutions:"
also if a = -b, n can be any even number

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