# Find Each of the Following Product: ( − 7 X Y ) × ( 1 4 X 2 Y Z ) - Mathematics

Find each of the following product: $( - 7xy) \times \left( \frac{1}{4} x^2 yz \right)$

#### Solution

To multiply algebraic expressions, we use commutative and associative laws along with the law of indices, i.e.,  $a^m \times a^n = a^{m + n}$

We have:

$\left( - 7xy \right) \times \left( \frac{1}{4} x^2 yz \right)$

$= \left( - 7 \times \frac{1}{4} \right) \times \left( x \times x^2 \right) \times \left( y \times y \right) \times z$

$= \left( - 7 \times \frac{1}{4} \right) \times \left( x^{1 + 2} \right) \times \left( y^{1 + 1} \right) \times z$

$= - \frac{7}{4} x^3 y^2 z$

Thus, the answer is $- \frac{7}{4} x^3 y^2 z$.

Concept: Multiplication of Algebraic Expressions
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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 6 Algebraic Expressions and Identities
Exercise 6.3 | Q 8 | Page 14