Question

Carry out the following divisions.

(i) 28x⁴ ÷ 56x

(ii) −36y³ ÷ 9y²

(iii) 66pq²r³ ÷ 11qr²

(iv) 34x³y³z³ ÷ 51xy²z³

(v) 12a⁸b⁸ ÷ (−6a⁶b⁴)

Answer 1

(i) 28x⁴ = 2 × 2 × 7 × x × x × x × x

56x = 2 × 2 × 2 × 7 × x

(ii) 36y³ = 2 × 2 × 3 × 3 × y × y × y

9y² = 3 × 3 × y × y

(iii) 66 pq² r³ = 2 × 3 × 11 × p × q × q × r × r × r

11qr² = 11 × q × r × r

(iv) 34 x³y³z³ = 2 × 17 × x × x × x × y × y × y × z × z × z

51 xy²z³ = 3 ×17 × x × y × y ×z × z × z

(v) 12a⁸b⁸ = 2 × 2 × 3 × a⁸ × b⁸

6a⁶b⁴ = 2 × 3 × a⁶ × b⁴

= −2a²b⁴