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Simplify. Express your answer using positive exponents.\newline(6d)(2d7)(6d)(6d)(2d^7)(6d)

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Multiply and divide powers: variable basesright chevron icon

Full solution

Q. Simplify. Express your answer using positive exponents.\newline(6d)(2d7)(6d)(6d)(2d^7)(6d)
  1. Multiply Coefficients and Variables: Multiply the coefficients (numbers) and the variables with exponents separately.\newlineFirst, multiply the coefficients 6,2,6, 2, and 66.\newline6×2×6=726 \times 2 \times 6 = 72\newlineNext, multiply the variables with exponents dd and d7d^7. Since dd is the same as d1d^1, we use the product rule of exponents which states that when multiplying like bases, you add the exponents.\newlined1×d7=d(1+7)=d8d^1 \times d^7 = d^{(1+7)} = d^8
  2. Calculate Coefficients: Combine the results from Step 11 to form the final expression. The final expression is the product of the coefficient 7272 and the variable with exponent d8d^8. 72×d872 \times d^8

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