Simplify (x^4)^3

Problem

(x^4)^3

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. Multiply the exponents 4 and 3 to find the new power.

4⋅3=12

Final Answer

(x^4)^3=x^12

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