# Investing fractions with exponents math

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The Basics of Exponents First, let's give you a little refresher on how exponents work. Here is an example of an exponential expression: In this example, x represents the value that is being multiplied by itself. N represents the exponent. The basic rules of exponents say the base number x will be multiplied by itself n times. Solving this is also called squaring or raising the base to the second power. Fractions With Exponents Fractions with exponents, also known as powers of fractions , are a little bit different.

When the base number is a fraction rather than a whole number, you are multiplying fractions by themselves however many times the exponent indicates: In the practice problem above, both the numerator and denominator within the parentheses are being raised to the third power. Let us understand the simplification of fractional exponents with the help of some examples.

Multiply Fractional Exponents With the Same Base To multiply fractional exponents with the same base, we have to add the exponents and write the sum on the common base. How to Divide Fractional Exponents? The division of fractional exponents can be classified into two types.

Here, we have to subtract the powers and write the difference on the common base. Here, we are dividing the bases in the given sequence and writing the common power on it. Negative Fractional Exponents Negative fractional exponents are the same as rational exponents.

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N represents the exponent. The basic rules of exponents say the base number x will be multiplied by itself n times. Solving this is also called squaring or raising the base to the second power. Fractions With Exponents Fractions with exponents, also known as powers of fractions , are a little bit different. When the base number is a fraction rather than a whole number, you are multiplying fractions by themselves however many times the exponent indicates: In the practice problem above, both the numerator and denominator within the parentheses are being raised to the third power.

The correct answer for a fraction with exponents will always be a fraction. The next step is multiplying out the exponents. It involves reducing the expression or the exponent to a reduced form that is easy to understand. Let us understand the simplification of fractional exponents with the help of some examples.

Multiply Fractional Exponents With the Same Base To multiply fractional exponents with the same base, we have to add the exponents and write the sum on the common base. How to Divide Fractional Exponents? The division of fractional exponents can be classified into two types. Here, we have to subtract the powers and write the difference on the common base. Here, we are dividing the bases in the given sequence and writing the common power on it.

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