What are Exponents in Maths? - Grade 7 Maths Questions With Detailed Solutions

What are exponents in maths? Grade 7 maths examples and algebra questions are presented along with detailed solutions. Detailed Solutions and explanations are included.

What are an exponents in maths and where are they used?
Examples: Exponents in maths are used
a) To represent A repeated multiplication of a number by itself as shown below.

exponent in math.

For example, 5 5 5 may be written as 5 3.
Hence 5 5 5 = 5
3, 5 is called the base and 3 is the exponent or power.
b) To represent large numbers in more simplified form.
Example: 100,000 = 10 10 10 10 10 = 10
5
c) To represent small numbers in more simplified form.
Example: 0.00001 = 1 / 100,000 = 1 / 10
5= 10 -5
d) To write units of area.
The area of a square of side 1 meter is : 1 meter 1 meter = (1 1)(meter meters)
= 1 meters
2
(read "meters
2" as meters squared, unit of area)
e) To write units of volume.
The volume of a cube of side 1 meters is : 1 meter 1 meter 1 meter
= (1 1 1)(meter meters meters)
= 1 meter
3
(read "meters
3" as meters cubed, unit of volume)
f) To represent prefixes used with units of measures such as grams, meters,....
Kilo means 1000 = 10
3
example: 1 kilogram = 10
3 grams = 1000 grams
Mega means 1000,000 = 10
6
example: 1 megabytes = 10
6 bytes = 1000,000 bytes
Giga means 1000,000,000 = 10
9
example: 1 gigabytes = 10
9 bytes = 1000,000,000 bytes


Solve the following exponents problems.(Solutions and explanations included)
  1. Write the following using exponents:
    a) 8 8 8 8
    b) 10 10 10 10 10 10 10
    c) A A A
    d) meter meter
    e) centimeter centimeter centimeter
  2. Evaluate the following:
    a) 2 4
    b) 10 4
    c) (-2) 4
    d) -2 4
  3. Use exponents to write the following using one power only.
    a) 4 8
    b) 25 5
    c) 16 4 4 3
    d) 2 2 8 2 3
    e) B B B 3
  4. Use exponents to rewrite the following expressions in simplified forms.
    a) 2 3 2 4
    b) 6 6 3
    c) 5 5 2 5 3
  5. Detailed Solutions and explanations are included.

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