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Simplify. Express your answer using positive exponents. (6pq)(2p^(5)q^(7))

Simplify. Express your answer using positive exponents.\newline(6pq)(2p5q7) (6 p q)\left(2 p^{5} q^{7}\right)

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Simplify exponential expressions using the multiplication and division rulesright chevron icon

Full solution

Q. Simplify. Express your answer using positive exponents.\newline(6pq)(2p5q7) (6 p q)\left(2 p^{5} q^{7}\right)
  1. Multiply Coefficients: First, let's multiply the coefficients together. So we got 66 times 22.6×2=126 \times 2 = 12.
  2. Multiply p's: Now, let's multiply the p's together. We have pp and p5p^{5}, so we add the exponents.p1+5=p6p^{1+5} = p^6.
  3. Multiply q's: Next, we multiply the q's. We got qq and q7q^{7}, so we add those exponents too.\newlineq1+7=q8q^{1+7} = q^8.
  4. Combine Terms: Finally, we put it all together. We got 1212 for the coefficients, p6p^6 for the p's, and q8q^8 for the q's.\newlineSo, the answer is 12p6q812p^6q^8.

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