Using exponents to describe numbers

Using exponents to describe numbers

A number in exponential form has two components, the base and the exponent. The base is the bigger number on the left, and the exponent is the smaller number at the top right hand corner of the base. When you multiply the same number two times or more, you may express it in exponential form.
Basic concepts: Understanding integer multiplication, Multiplying integers,
Related concepts: Product rule of exponents, Quotient rule of exponents, Power of a product rule , Power of a quotient rule ,

Lessons

  • 1.
    Write in exponential notation, and calculate.
    a)
    5 × 5

    b)
    4 × 4 × 4

    c)
    6 × 6 × 6 × 6 × 6

    d)
    8 × 8 × 8 × 8 × 8 × 8 × 8

  • 2.
    Complete the table.
    Repeated Multiplication Exponential Form Value
    9 × 9 × 9 × 9 94{9^4} ____
    2 × 2 × 2 ____ ____
    ___________ ____ 25
    ___________ ____ 216
    ___________ 123{12^3} ____
  • 3.
    Complete the table.
    Repeated Multiplication Exponential Form Value
    (-6) × (-6) × (-6) × (-6) (−6)4{\left( { - 6} \right)^4} ____
    (-8) × (-8) × (-8) (−8)3{\left( { - 8} \right)^3} ____
    (-1) × (-1) × (-1) ____ ____
    ___________ (−9)2{\left( { - 9} \right)^2} ____
    ___________ ____ -1024
  • 4.
    The side length of the cube below is 5 cm. Write the volume of the cube in repeated multiplication form and as a power.
    Using exponents to describe numbers
  • 5.
    Write 16 as a power where the exponent is 4 and the base is:
    a)
    negative

    b)
    positive

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14.
Powers and Exponents
14.1
Using exponents to describe numbers
14.2
Exponent rules
14.3
Order of operations with exponents
14.4
Using exponents to solve problems
Grade 7 Math
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