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Simplify. Express your answer using positive exponents.
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Q. Simplify. Express your answer using positive exponents.
- Group like terms: Group the coefficients and powers that have the same base.\$(10n)(9n^6) = (10 \times 9) \times (n \times n^6)\)
- Multiply coefficients: What is \(10\) multiplied by \(9\)?\(\newline\)\(10 \times 9 = 90\)
- Combine like terms: Write \(n \times n^6\) as the single exponent of \(n\).\(\newline\)Add the exponents.\(\newline\)\(n \times n^6\)\(\newline\)= \(n^{1+6}\)\(\newline\)= \(n^7\)
- Simplify expression: We found:\(\newline\)\(10 \times 9 = 90\)\(\newline\)\(n \times n^6 = n^7\)\(\newline\)Write \((10n)(9n^6)\) in simplest form.\(\newline\)\((10n)(9n^6)\)\(\newline\)= \((10 \times 9) \times (n \times n^6)\)\(\newline\)= \(90 \times n^7\)\(\newline\)= \(90n^7\)
