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Understanding Exponents


Exponents are an expression to show how many times to multiply a number by itself.


Exponent - The number of times to multiply the base
Base - The number being multiplied


An exponent (also known as ‘power’) shows us how many times a number (called the ‘base’) is to be multiplied by itself. If we are given 232^{3}, 2 is the base, and 3 is the exponent. This simply means that 2 is to be multiplied by itself 3 times. To evaluate this exponent - we can write it out like this: 23=222=82^{3} = 2 * 2 * 2 = 8.

Note: Any number to the power of 1, is the number itself. (so 31=33^1 = 3)

Note: Any number to the power of 0 = 1. (so 40=14^0=1)


Understanding Exponents Worksheets (PDF)

Understanding Exponents Worksheet 1

Understanding Exponents Worksheet 2

Understanding Exponents Worksheet 3