Question
(1) Simplify. Express your answer using positive exponents. \( \left(10 q^{5}\right)(7 q)\left(9 q^{2}\right) \) (D) Watch a video
Ask by Reeves Henry. in the United States
Mar 08,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( 630q^{8} \)
Solution
1. Multiply the coefficients:
\[
10 \times 7 \times 9 = 630
\]
2. Multiply the powers of \( q \) by adding exponents:
\[
q^{5} \times q^{1} \times q^{2} = q^{5+1+2} = q^{8}
\]
3. Combine the result:
\[
630q^{8}
\]
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution The Deep Dive
To simplify the expression, start by multiplying the coefficients: \(10 \times 7 \times 9 = 630\). Next, combine the \(q\) terms by adding the exponents: \(5 + 1 + 2 = 8\). Thus, the simplified expression is \(630 q^{8}\). Voila! You've successfully simplified the expression using positive exponents. If you're ever unsure, it's always good to check your work by substituting in a value for \(q\). For example, if \(q = 1\), then the original expression and your simplified expression should both equal 630. This can help catch any mistakes you might have made along the way!
