Carry out the following division: 28x4 ÷ 56x

Answer: 1/2 x3

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.

28x4 ÷ 56x

\(\frac{28x^{4}}{56x}\)

⇒ \(\frac{28}{56} \times \frac{x^{4}}{x}\)

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

⇒ \(\frac{1}{2}\times x^{4 – 1}\)

⇒ \(\frac{1}{2}x^{3}\)

28x4 ÷ 56x = 1/2 x3

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