# Negative Exponents Kuta

Purplemath. Once you’ve learned about negative numbers, you can also learn about negative powers.A negative exponent just means that the base is on the wrong side of the fraction line, so you need to flip the base to the other side..Learn how to rewrite expressions with negative exponents as fractions with positive exponents. A positive exponent tells us how many times to multiply a base number, and a negative exponent tells us how many times to divide a base number. We can rewrite negative exponents like x as 1 x. For example, 2 = 1 2 = 1 16..The exponent of a number says how many times to use the number in a multiplication. In this example 8 2 = 8 215 8 = 64 In words 8 2 can be called “8 to the second power”, “8 .According to the definition of a negative exponent, x n = 1 x n. When you divide by a negative exponent, it’s equivalent to multiplying by the same exponent, only positive. To see why this is true, consider 1 x n = 1 1 x n = x n. For example, the number x 5 x 3 is equivalent to x 5 x 3. You add the exponents to get x 8. The rule is . 0183 32 Negative exponent rule To change a negative exponent to a positive one, flip it into a reciprocal. Remind students that the rules stay the same with negative exponents there just might be a few extra steps to follow. A quick review of negative numbers. 0183 32 How does a negative exponent affect our answer? Before you assume that the answer must be negative, think again! Practice this lesson yourself on KhanAcademy.org right now nacademy .

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