# Free Mathematics Tutorials # 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. . 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) 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 Evaluate the following: a) 2 4 b) 10 4 c) (-2) 4 d) -2 4 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 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 Detailed Solutions and explanations are included.