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# 1. Carry out the following divisions. (i) $$28x^4 ÷ 56x$$ (ii) $$-36y^3 ÷ 9y^2$$ (iii) $$66pq^2r^3 ÷ 11qr^2$$ (iv) $$34x^3y^3z^3 ÷ 51xy^2z^3$$ (v) $$12a^8b^8 ÷ (-6a^6b^4)$$

(i)Given:$$28x^4 ÷ 56x$$

$$=\frac{28\times x \times x \times x \times x}{28\times 2 \times x}$$

$$=\frac{x \times x \times x}2=\frac{x^3}2$$

(ii)Given:$$-36y^3 ÷ 9y^2$$

$$=\frac{-1\times 4 \times 9 \times y \times y \times y}{9\times y \times y}$$

$$=\frac{-1 \times 4 \times y}1=-4y$$

(iii)Given: $$66pq^2r^3 ÷ 11qr^2$$

$$=\frac{6\times 11 \times p \times q \times q \times r \times r \times r}{11\times q \times r \times r}$$

$$=\frac{6 \times p \times q \times r}1=6pqr$$

(iv)Given: $$34x^3y^3z^3 ÷ 51xy^2z^3$$

$$=\frac{6\times 11 \times x \times x \times x \times y \times y \times y \times z \times z \times z}{17\times 3 \times x \times y\times z \times z \times z}$$

$$=\frac{2 \times x \times x \times y}3=\frac{2x^2y}{3}$$

(v)Given:$$12a^8b^8 ÷ (-6a^6b^4)$$

$$=\frac{6\times 2 \times a \times a \times a \times a \times a \times a \times a \times a \times b \times b \times b \times b \times b \times b \times b \times b }{-1\times 6\times a \times a \times a \times a \times a \times a \times b \times b \times b \times b}$$

$$=\frac{2 \times a \times a \times b \times b \times b \times b}{-1}=-2a^2b^4$$