text: # Power of Literal Quantities
  
  Power of literal quantities means when a quantity is multiplied by itself, any number of times, the product is called a power of that quantity. This product is expressed by writing the number of factors in it to the right of the quantity and slightly raised.
  
  For example:
  
  (i) m × m has two factors so to express it we can write m × m = m2
  
  (ii) b × b × b has three factors so to express it we can write b × b × b = b3
  
  (iii) z × z × z × z × z × z × z has seven factors so to express it we can write z × z × z × z × z × z × z = z7
  
  Learn how to read and write the power of literal quantities.
  
  (i) Product of x × x is written as x2 and it is read as x squared or x raised to the power 2.
  
  (ii) Product of y × y × y is written as y3 and it is read as y cubed or y raised to the power 3.
  
  (iii) Product of n × n × n × n is written as n4 and it is read as forth power of n or n raised to the power 4.
  
  (iv) Product of 3 × 3 × 3 × 3 × 3 is written as 35 and it is read as fifth power of 3 or 3 raised to the power 5.
  
  How to identify the base and exponent of the power of the given quantity?
  
  (i) In a5 here a is called the base and 5 is called the exponent or index or power.
  
  (ii) In Mn here M is called the base and n is called the exponent or index or power.
  
  Solved examples:
  
  1. Write a × a × b × b × b in index form.
  
  a × a × b × b × b = a2b3
  
  2. Express 5 × m × m × m × n × n in power form.
  
  5 × m × m × m × n × n = 5m3n2
  
  3. Express -5 × 3 × p × q × q × r in exponent form.
  
  -5 × 3 × p × q × q × r = -15pq2r
  
  4. Write 3x3y4 in product form.
  
  3x3y4 = 3 × x × x × x × y × y × y × y
  
  5. Express 9a4b2c3 in product form.
  
  9a4b2c3 = 3 × 3 × a × a × a × a × b × b × c × c × c
  
  Types of Algebraic Expressions
  
  Degree of a Polynomial
  
  Subtraction of Polynomials
  
  Power of Literal Quantities
  
  Multiplication of Two Monomials
  
  Multiplication of Polynomial by Monomial
  
  Multiplication of two Binomials
  
  Division of Monomials