To simplify the expression (5x^4)^2, we apply the power of a power rule, which states that (a^b)^c = a^(b*c):
(5x^4)^2 = 5^(2*1) * (x^4)^2
Simplifying further:
= 25 * x^(4*2)
= 25 * x^8
= 25x^8
Therefore, (5x^4)^2 simplifies to 25x^8.
(5x^4)^2
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