Carry out the following division: -36y3 ÷ 9y2

Answer: -4y

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.

Here,

  • 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.

-36y3 ÷ 9y2

\(\frac{-36y^{3}}{9y^{2}}\)

⇒ \(\frac{-36}{9}\times \frac{y^{3}}{y^{2}}\)

⇒ -4 × y(3 – 2)

We know that \(\frac{a^{m}}{a^{n}}= a^{m-n}\)

-36y3 ÷ 9y2 = -4y

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