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
explanation: The document provides an explanation of the concept of the power of literal quantities, including how to read and write them, and how to identify the base and exponent. It also includes several solved examples demonstrating how to write products in index form, power form, and exponent form, as well as how to convert expressions from index form to product form. The document does not contain a specific question or a question-and-answer pair.
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distilabel_metadata.content: # 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
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document provides an explanation of the concept of the power of literal quantities, including how to read and write them, and how to identify the base and exponent. It also includes several solved examples demonstrating how to write products in index form, power form, and exponent form, as well as how to convert expressions from index form to product form. The document does not contain a specific question or a question-and-answer pair.
  
  Label: no-question