LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

POWERS OF A LITERALS

__Powers of a
Literals –__

**Product of a literal multiplied by itself is called a power of a literal, for example - a X a X a X a = a⁴ , here the literal ‘a’ is
called the base of the power and the number of times it is multiplied is
called the index or exponent of the power.**

**For your
better understanding, we are giving some examples.- **

**Example.1) In x⁵, ‘x’ is the base, and 5 is the index of
the power.**

**Example.2) In y⁴,
‘y’ is base, and 4 is the index of the power**

**Example.3) In a
X a X a X a X a X a = a⁶, here
base = ‘a’ and index of power = 6**

__TERMS –__

**A combination
of constants and variables connected only by the operations of multiplication
and division is called a term. Some examples are 5x, -7d², 9ab,
51xy, 1/9y², -4b⁴, and - 8/11 y⁵z**

**Algebraic Expression –**

**A collection
of numbers and variables connected by operations is called an algebraic
expression or simply an expression. Parts of an expression connected by
positive ‘+’ and negative ‘-‘ sign is included in the term. There
are some example are given below for your better understanding –**

**Example.1) 5a – 8c + 4d has there three terms such as 5a, – 8c, and 4d**

**Example.2) 4/9ab + 5/11 cd – 8 ad – 2/5 bc has there
four terms 4/9ab, 5/11 cd, – 8 ad, and –
2/5 bc. **

**If any
algebraic expression has one term, it will be called as monomial
and if it has more than one term then it will be called as multinomial. Multinomial with two and three
terms will be called binomials and
trinomials respectively.**