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Simplify. Express your answer using positive exponents.
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Q. Simplify. Express your answer using positive exponents.
- Group coefficients and powers: Group the coefficients and powers that have the same base.\$(5q^2)(2q) = (5 \times 2) \times (q^2 \times q)\)
- Multiply coefficients: What is \(5\) multiplied by \(2\)?\(\newline\)\(5 \times 2 = 10\)
- Combine exponents: Write \(q^2 \times q\) as the single exponent of \(q\).\(\newline\)Add the exponents.\(\newline\)\(q^2 \times q\)\(\newline\)= \(q^{(2+1)}\)\(\newline\)= \(q^3\)
- Write in simplest form: We found:\(\newline\)\(5 \times 2 = 10\)\(\newline\)\(q^2 \times q = q^3\)\(\newline\)Write \((5q^2)(2q)\) in simplest form.\(\newline\)\((5q^2)(2q)\)\(\newline\)= \((5 \times 2) \times (q^2 \times q)\)\(\newline\)= \(10 \times q^3\)\(\newline\)= \(10q^3\)
