Simplify (x^2)^4

Problem

(x^2)^4

Solution

1. Identify the power of a power rule for exponents, which states that (a^m)^n=a^(m⋅n)

2. Apply the rule by multiplying the inner exponent by the outer exponent.

3. Calculate the product of the exponents, which is 2⋅4=8

Final Answer

(x^2)^4=x^8

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