Carry out the following division: 34x3y3z3 ÷ 51xy2z3

Answer: 2/3 x2y

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.

34x3y3z3 ÷ 51xy2z3

\(\frac{34x^{3}y^{3}z^{3}}{51xy^{2}z^{3}}\)

⇒ \(\frac{34}{51}\times \frac{x^{3}}{x}\times \frac{y^{3}}{y^{2}}\times \frac{z^{3}}{z^{3}}\)

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

⇒ \(\frac{2}{3}\times x^{3-1}\times y^{3-2}\times z^{3-3}\)

⇒ \(\frac{2}{3}\times x^{2}\times y^{1}\times z^{0}\)

⇒ \(\frac{2}{3}\times x^{2}\times y\times 1\)

34x3y3z3 ÷ 51xy2z3 = 2/3 x2y

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