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Aisha Grimes
Mathematics
4 March, 05:29
If a4 = 625, what does (a) equal?
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Dylan Allen
4 March, 05:38
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I'm assuming you meant to write a^4 = 625.
If that is the case, then note how 625 = 25^2, and how a^4 is the same as (a^2) ^2
So we go from this
a^4 = 625
to this
(a^2) ^2 = 25^2
Apply the square root to both sides and you'll end up with: a^2 = 25
From here, apply the square root again to end up with the final answer: a = 5 or a = - 5
As a check:
a^4 = (-5) ^4 = (-5) * (-5) * (-5) * (-5) = 25*25 = 625
a^4 = (5) ^4 = (5) * (5) * (5) * (5) = 25*25 = 625
Both values of 'a' work out
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