If im changing the subject of an equation to make x the subject with

Question

If im changing the subject of an equation to make x the subject with

x^2=n

what do i do to the side n when i take ^2 away. do i square it or take the square root?. Does this apply to any power, ie would it be the same if

x^(2/1)=n or x^(3+6)=n

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1 answer
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Answer 1

MathMate answered
14 years ago

Yes, the correct approach for this category of equations is to raise power on each side of the equation to reduce the power of the variable to 1 (one).

This is due to the exponent relaionship:
(a^k)^(1/k) = a^1 = a

For example,
x^(7) = n
(x^(7))^(1/7) = n^(1/7)
x = n^(1/7)