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RULES FOR MULTIPLICATION OF ALGEBRAIC EXPRESSION

**RULES FOR MULTIPLICATION OF ALGEBRAIC EXPRESSION**

**You know
that, the product of a literal multiplied by itself is a power of the literal
and that the index of the power is the number of times the literal is multiplied
by itself.**

**Thus, a X a X
a X a X a = a⁵ and a X a X a = aᶟ**

**Then, a⁵ X aᶟ = a⁸ = a X a X a X a X a X a X a X a
= a⁸**

**We can
generalize this as follows,**

** aᵐ X aⁿ = aᵐ⁺ⁿ, we can express this as, the product of
two powers (xᵐ and xⁿ) of a variable x is another power (xᵐ⁺ⁿ) of the variable
x whose index (m+n) is the sum of their indices (m & n).**

**Similarly, aᵐ X bⁿ X cᵖ = aᵐ bⁿ cᵖ**

** aᵐ X aⁿ X aᵖ = aᵐ⁺ⁿ
X aᵖ = aᵐ⁺ⁿ⁺ᵖ**

__Multiplication
of two or more Monomials-__

**To multiply
two or more monomials, remember –**

**Product of
two monomials = (product of numerical factors) X (product of variable factors)**

**The sign of
the product is determined by the usual convention –**

** (+) X (+) = (+), (+) X
(-) = (-), (-) X (-) = (+), (-) X (+) = (+)**