Question
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Tutor-Verified Answer
Answer
\( 3136z^{4} \)
Solution
Calculate or simplify the expression \( (7z)^2(8z)^2 \).
Simplify the expression by following steps:
- step0: Solution:
\(\left(7z\right)^{2}\left(8z\right)^{2}\)
- step1: Rewrite the expression:
\(49z^{2}\times 64z^{2}\)
- step2: Multiply the numbers:
\(3136z^{2}\times z^{2}\)
- step3: Multiply the terms:
\(3136z^{4}\)
The simplified form of \( (7z)^{2}(8z)^{2} \) is \( 3136z^{4} \).
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
Let’s break this down: when you square a product, you square each factor. So, \( (7z)^{2} = 49z^{2} \) and \( (8z)^{2} = 64z^{2} \). Now, when you multiply these two results together, you get \( 49z^{2} \times 64z^{2} = 3136z^{4} \). Voilà! Now that you have the result, if you're ever multiplying powers of the same base, remember that you add the exponents: \( z^{2} \times z^{2} = z^{4} \). It’s like magic, but with math!
