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How to Express Using a Positive Exponent

Using exponents is a common task for algebra and calculus students in high school and college. Using an exponent is a way to raise a value (called a "base") to a certain "power." When you raise a base to a power, you multiply that base by itself a specific number of times. Most exponents are positive in nature, because having an expression with a negative exponent means the expression is not in its simplest form. You can express many different values using positive exponents.

Instructions

    • 1

      Determine if a certain value has any roots. That is, figure out if any number multiplied times itself a certain number of times equals that value. For instance, the number 64 is the product of 4 times 4 times 4.

    • 2

      Write the root of the value. In this example, you would write the number 4.

    • 3

      Write the number of times that you multiplied the base to reach the original value. This will be the positive exponent. Write the exponent in superscript to the right of the base. If you are typing, you can use the caret symbol. In this example, you would convert 64 to 4^3, because you multiplied 4 times itself 3 times.

    • 4

      Write large values ending in zero using scientific notation. For example, if you have the number 125,000,000,000, you could express this as 1.25 x 10^11. In scientific notation, write the first number of the value followed by a decimal if one or more digits other than zero follow the first digit. Then write a times symbol (x), followed by the base 10 and a positive exponent indicating how many places to the left you moved the decimal.

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