# Exercise 6.3

### 1. 5x2 × 4x3

#### Solution:

To multiply algebraic expressions, we use commutative and associative laws along with the laws of indices. However, use of these laws is subject to their applicability in the given expressions.

In the present problem, to perform the multiplication, we can proceed as follows:

5x2 × 4x3

= (5×4)×(x2×x3)

= 20×5 (∵am × an = am+n)

### 2. −3a2×4b4

#### Solution:

To multiply algebraic expressions, we can use commutative and associative laws along with the law of indices, am×an=am+n, wherever applicable.

We have:

−3a2×4b4

= (−3×4) × (a2×b4)

= −12a2b4

### 3. (−5xy) × (−3x2yz)

#### Solution:

To multiply algebraic expressions, we can use commutative and associative laws along with the law of indices, am×an=am+n, wherever applicable.

We have:

(−5xy) × (−3x2yz)

= [(−5) × (−3)] × (x×x2) × (y×y)×z

= 15×(x1+2) × (y1+1)×z

= 15x3y2z

#### Solution:

To multiply algebraic expressions, we can use commutative and associative laws along with the law of indices, that is, am×an=am+n

We have:

#### Solution:

To multiply algebraic expressions, we can use commutative and associative laws along with the law of indices, that is, am×an=am+n

We have:

#### Solution:

To multiply algebraic expressions, we can use commutative and associative laws along with the law of indices, that is, am×an=am+n

We have:

#### Solution:

To multiply algebraic expressions, we can use commutative and associative laws along with the law of indices, that is, am×an=am+n

We have:

Solution:

To multiply algebraic expressions, we can use commutative and associative laws along with the law of indices, that is, am×an=am+n

## 9. Find the products

### (7ab) × (− 5ab2c) × (6abc2)

#### Solution:

To multiply algebraic expressions, we can use commutative and associative laws along with the law of indices, a× an = am + n, wherever applicable.

We have:

### (−5a) × (−10a2) × (−2a3

#### Solution:

To multiply algebraic expressions, we can use commutative and associative laws along with the law of indices, a× an = am + n, wherever applicable.

We have:

## 11. Find the products

### Solution:

To multiply algebraic expressions, we can use commutative and associative laws along with the law of indices, a× an = am + n, wherever applicable.

We have:

### (2.3xy) × (0.1x) × (0.16)

#### Solution:

To multiply algebraic expressions, we can use commutative and associative laws along with the law of indices, a× an = am + n, wherever applicable.

We have:

(2.3xy) × (0.1x) × (0.16)

= (2.3 × 0.1 × 0.16) × (x × x) × y

= (2.3 × 0.1 × 0.16) × (x1+1) × y

= 0.0368x2y

### 19. Express each of the following products as a monomials and verify the result in each case for x = 1:

#### Solution:

To multiply algebraic expressions, we can use commutative and associative laws along with the law of indices, am × an = am + n, wherever applicable.

We have:

Updated: November 7, 2019 — 4:31 pm