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Simplify. Express your answer using positive exponents.\newline(7r6)(5r5)(7r^6)(5r^5)

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Full solution

Q. Simplify. Express your answer using positive exponents.\newline(7r6)(5r5)(7r^6)(5r^5)
  1. Combine coefficients and powers: Step 11: Combine the coefficients and the powers of rr. \newline(7r6)(5r5)=(7×5)×(r6×r5)(7r^6)(5r^5) = (7 \times 5) \times (r^6 \times r^5)
  2. Calculate product of coefficients: Step 22: Calculate the product of the coefficients. 7×5=357 \times 5 = 35
  3. Add exponents of r: Step 33: Add the exponents of r.\newliner6×r5=r(6+5)=r11r^6 \times r^5 = r^{(6+5)} = r^{11}
  4. Write simplified expression: Step 44: Write the simplified expression.\newline(7r6)(5r5)=35×r11=35r11(7r^6)(5r^5) = 35 \times r^{11} = 35r^{11}

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