"Question 3 Find the product.
(i) (a^2) × (2a^22) × (4a^26)
(ii) (2xy/3) x (-9x^2 y^2 / 10)
(iii) (-10pq^3 / 3) x (6 p^3q / 5)
(iv) x × x^2 × x^3 × x^4
Class 8 Algebraic Expressions and Identities Page 146"
Answers
Algebraic expressions:
A combination of constants and variables connected by any or all of the four fundamental operations +, -,×,÷ is called an algebraic expression.
Terms:
The different parts of the expression separated by the sign+ or – are called the terms of the expression.
Monomials:
A monomial is a one term algebraic expression .
Multiplication of algebraic expression:
The product of two factors with like signs is positive and the product of two factors with unlike signs is negative.
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solution:
We will use the below property
a^m x a^n x a^o= a^(m+n+o)
i)
a² x (2a²²) x (4a^26) = (2 x 4) x (a²² x a^26)
= 8a^50
ii) (2xy/3) ×(-9x²y²/10) =( 2/3 x -9/10) x ( xyx²y²)
=(-3x³y³/5)
iii) (-10pq³/3) ×(6p³q/5) = (-10/3 x 6/5) x( pq³ x p³q)
=(-4p⁴q⁴)
iv) ( x) x (x²) x (x³) x (x^4)
= x^10
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Hope this will help you....