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Fully simplify.

(4xy)^(2)
Answer:

Fully simplify.\newline(4xy)2 (4 x y)^{2} \newlineAnswer:

Full solution

Q. Fully simplify.\newline(4xy)2 (4 x y)^{2} \newlineAnswer:
  1. Apply Power to Coefficient and Variables: We have the expression: (4xy)2(4xy)^{2}. To simplify this expression, we need to apply the power to both the coefficient 44 and the variables xx and yy.
  2. Raise Coefficient to Power of 22: First, we raise the coefficient to the power of 22: (42)=16(4^2) = 16.
  3. Raise Variables to Power of 22: Next, we raise each variable to the power of 22: (x2)(x^2) and (y2)(y^2).
  4. Combine Results: Now, we combine the results from the previous steps: 16×(x2)×(y2)16 \times (x^2) \times (y^2).
  5. Final Simplified Expression: The fully simplified expression is 16x2y216x^2y^2.

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