Verify the following and name the property also:
$$3/5\times (-4/7 \times -8/9) = (3/5 \times - 4/7) \times -8/9$$.
$$3 / 5 \times (- 4 / 7 \times -8 / 9) = (3 / 5 \times - 4 / 7) \times - 8 / 9$$
$$L.H.S. = 3 / 5 \times (- 4 / 7 \times - 8 / 9)$$
$$= 3 / 5 \times (- 4 \times - 8) / 7 \times 9$$
$$= 3 / 5 \times 32 / 63$$
$$= (3 \times 32) / (5 ×\times 63)$$
We get,
$$= 96 / 315$$
$$R.H.S. = (3 / 5 \times - 4 / 7) \times - 8 / 9$$
$$= - 12 / 35 \times - 8 / 9$$
$$= \left \{- 12 \times (- 8)\right \}/ (35 \times 9)$$
We get,
$$= 96 / 315$$
Hence, $$3 / 5 \times (- 4 / 7 \times - 8 / 9) = (3 / 5 \times - 4 / 7) \times - 8 / 9$$
The name of the property is Associative property of multiplication.