Questions: Simplify. (7 w)^2

Transcript text: Simplify. \[ (7 w)^{2} \] Write your answer without parentheses. $\square$

Solution

To simplify $(7w)^2$, we need to apply the exponent to both the coefficient and the variable. This means squaring 7 and squaring $w$.

Step 1: Apply the Exponent to the Coefficient

To simplify $(7w)^2$, we first apply the exponent to the coefficient $7$: \[ 7^2 = 49 \]

Step 2: Apply the Exponent to the Variable

Next, we apply the exponent to the variable $w$: \[ w^2 = w^2 \]

Step 3: Combine the Results

Combine the squared coefficient and the squared variable: \[ (7w)^2 = 49w^2 \]

\[ \boxed{49w^2} \]

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