Fully simplify. (4xy)^(2) Answer:

Apply Power to Coefficient and Variables: We have the expression: (4xy)^(2). To simplify this expression, we need to apply the power to both the coefficient (4) and the variables (x and y).Raise Coefficient to Power of 2: First, we raise the coefficient to the power of 2: (4^2) = 16.Raise Variables to Power of 2: Next, we raise each variable to the power of 2: (x^2) and (y^2).Combine Results: Now, we combine the results from the previous steps: 16 * (x^2) * (y^2).Final Simplified Expression: The fully simplified expression is 16x^2y^2.

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Fully simplify. $\newline$ $(4 x y)^{2}$ $\newline$ Answer:

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Math Problems

Grade 8

Relationship between squares and square roots

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Q. Fully simplify.

\newline

(4 x y)^{2}

\newline

Answer:

Apply Power to Coefficient and Variables: We have the expression: $(4xy)^{2}$ . To simplify this expression, we need to apply the power to both the coefficient $4$ and the variables $x$ and $y$ .
Raise Coefficient to Power of $2$ : First, we raise the coefficient to the power of $2$ : $(4^2) = 16$ .
Raise Variables to Power of $2$ : Next, we raise each variable to the power of $2$ : $(x^2)$ and $(y^2)$ .
Combine Results: Now, we combine the results from the previous steps: $16 \times (x^2) \times (y^2)$ .
Final Simplified Expression: The fully simplified expression is $16x^2y^2$ .