Simplify (x^5)^2

Problem

(x5)2

Solution

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

2. Apply the rule by multiplying the inner exponent 5 by the outer exponent 2

3. Calculate the product of the exponents: 5⋅2=10

Final Answer

(x5)2=x10

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