Powers which are fractions

Donate Login Sign up Search for courses, skills, and videos. Math 6th grade Arithmetic operations Exponents. Practice: Exponents basic. Comparing exponent expressions. Powers of fractions. Practice: Powers of fractions. Next lesson. Current timeTotal duration Google Classroom Facebook Twitter. Video transcript Let's go through more exponent examples.

So to warm up, let's think about taking a fraction to some power. Now, we've already learned there are two ways of thinking about this. And then we multiply them. Therefore, 3 is the required answer. Example 2: Solve the given expression involving multiplication of terms with fractional exponents. Solution: 4 can be expressed as a square of 2, i. Now, 8 can be expressed as a cube of 2, i. Therefore, the given expression can be re-written as,.

Multiplication of fractional exponents with the same base is done by adding the powers and writing the sum on the common base. Fractional exponents mean the power of a number is in terms of fraction rather than an integer. In the case of fractional exponents, the numerator is the power and the denominator is the root. This is the general rule of fractional exponents. If the exponent is given in negative, it means we have to take the reciprocal of the base and remove the negative sign from the power.

To solve fractional exponents, we use the laws of exponents or the exponent rules. The fractional exponents' rules are stated below:. There is no rule for the addition of fractional exponents. We can add them only by simplifying the powers, if possible. Division of fractional exponents with the same base and different powers is done by subtracting the powers, and the division with different bases and same powers is done by dividing the bases first and writing the common power on the answer.

Learn Practice Download. Fractional Exponents If an exponent of a number is a fraction, it is called a fractional exponent. What are Fractional Exponents? Fractional Exponents Rules 3. Simplifying Fractional Exponents 4. Negative Fractional Exponents 5. Have questions on basic mathematical concepts? Become a problem-solving champ using logic, not rules.

Learn the why behind math with our certified experts. Fractional Exponents Questions. Explore math program.