For example, y -5 × y -2 = 1/y 5 × 1/y 2 = 1/y (5+2) = 1/y 7 Why are Negative Exponents Reciprocals? Once they are converted to positive ones, we multiply them using the same rules that we apply for multiplying positive exponents. While multiplying negative exponents, first we need to convert them to positive exponents by writing the respective numbers in their reciprocal form. This makes it: y 5 × y 3 = y (5+3) = y 8. ![]() i.e., y 5 ÷ y -3 = y 5/y -3, first we change the negative exponent (y -3) to a positive one by writing its reciprocal. This can be simplified in an alternative way also. For example, to solve y 5 ÷ y -3 = y 5-(-3) = y 8. How to Divide Negative Exponents?ĭividing exponents with the same base results in the subtraction of exponents. This results in 16/9 which is the final answer. Then, find the value of the number by taking the positive value of the given negative exponent. How to Solve Fractions with Negative Exponents?įractions with negative exponents can be solved by taking the reciprocal of the fraction. There are two main rules that are helpful when dealing with negative exponents: For example, to solve: 3 -3 + 1/2 -4, first we change these to their reciprocal form: 1/3 3 + 2 4, then simplify 1/27 + 16. Negative exponents are calculated using the same laws of exponents that are used to solve positive exponents. For example, 2 -3 = 1/8, which is a positive number. No, it is not necessary that negative exponents give negative numbers. Do negative exponents Result in Negative Numbers? For example, in the number 2 -8, -8 is the negative exponent of base 2. The negative exponents mean the negative numbers that are present in place of exponents.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |