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If a number is raised to the third power, we say it is cubed. If a number is raised to the second power, we say it is squared. The following rules apply to numbers with exponents of 0, 1, 2 and 3: RuleĪny number (except 0) raised to the zero power is equal to 1.Īny number raised to the first power is always equal to itself. Solution: 8 x 8 x 8 x 8 x 8 x 8 x 8 = 8 7 8 raised to the seventh powerĮxample 5: Write 10 3, 3 6, and 1 8 in factor form and in standard form. Solution: 6 x 6 x 6 x 6 x 6 = 6 5 6 raised to the fifth powerĮxample 4: Write 8 x 8 x 8 x 8 x 8 x 8 x 8 using exponents, then read your answer aloud. Solution: 3 x 3 x 3 x 3 = 3 4 3 raised to the fourth powerĮxample 3: Write 6 x 6 x 6 x 6 x 6 using exponents, then read your answer aloud. Let's look at some examples of writing exponents where the base is a number other than 2.Įxample 2: Write 3 x 3 x 3 x 3 using exponents, then read your answer aloud. So far we have only examined numbers with a base of 2. Let us take another look at the table from above to see how exponents work. Solution: 2 x 2 x 2 x 2 x 2 = 2 5 2 raised to the fifth power Read as two raised to the millionth powerĮxample 1: Write 2 x 2 x 2 x 2 x 2 using exponents, then read your answer aloud. We write this number in exponential form as follows: The exponent tells us how many times the base is used as a factor.įor example, to write 2 as a factor one million times, the base is 2, and the exponent is 1,000,000. Exponential notation is an easier way to write a number as a product of many factors. A better way to approach this is to use exponents. Writing 2 as a factor one million times would be a very time-consuming and tedious task.
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How long do you think that would take? Answer. Suppose that your teacher asked you to Write 2 as a factor one million times for homework. The product of factors is also displayed in this table. In the table below, the number 2 is written as a factor repeatedly. Learn about the rules of exponents with the following examples and interactive exercises.