Carry out the following division: 12a8b8 ÷ (-6a6b4)

Answer: -2a2b4

The four important terms used in the division operation are dividend, divisor, quotient and remainder. The formula to calculate the division of two numbers is:

Dividend ÷ Divisor = Quotient + Remainder.


  • The dividend is the number, which is being divided
  • The divisor is the number, which divides the number (dividend) into equal parts
  • The quotient is the result of the division operation
  • The remainder is the leftover number in the division operation.

12a8b8 ÷ (- 6a6b4)


⇒ [latex]\frac{12}{-6}\times \frac{a^{8}}{a^{6}}\times \frac{b^{8}}{b^{4}}[/latex]

We know that [latex]\frac{a^{m}}{a^{n}}= a^{m-n}[/latex]

⇒ -2 × a(8 – 6) × b(8 – 4)

⇒ -2 × a2 × b4

12a8b8 ÷ (- 6a6b4) = -2a2b4

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