[(2x^4)^3]^2

[(2x^4)^3]^2

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Remember, by a property of exponents, (a b)^m =   a^m b^m

Then, applying the exponent "3" across the terms inside the parentheses, we have

(2)³ * (x⁴)³   = (8)(x)¹²

And applying the exponent outside the bracket - (2) - to this, we have

8² * [(x)¹²]² =   64x²⁴