Question
\( (7 x)^{2} \) Write your answer without parentheses. \( \square \)
Ask by Henry Schofield. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( 49x^2 \)
Solution
1. Start with the original expression:
\[
(7x)^2
\]
2. Recall that when raising a product to a power, the exponent applies to each factor:
\[
(7x)^2 = 7^2 \cdot x^2
\]
3. Compute \(7^2\):
\[
7^2 = 49
\]
4. Substitute back into the expression:
\[
(7x)^2 = 49x^2
\]
Final answer: \( 49x^2 \)
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution The Deep Dive
The expression \( (7x)^{2} \) can be expanded using the property of exponents that states \( (ab)^{n} = a^{n}b^{n} \). So, \( (7x)^{2} = 7^{2} \cdot x^{2} \). This gives us \( 49x^{2} \) as the final answer. Now, if you’re ever unsure about exponents, just remember that squaring a number means multiplying it by itself! It's a little like giving your math a turbo boost—just be careful not to confuse multiplication with addition when you square terms, as they require different rules!
