2 3 to the 2 power as a fraction

2 3 to the 2 power as a fraction 2 3 2 2 2 8 2 2 2 2 4 2 1 2 2 2 0 This is tricky and is covered in later videos it is actually 1 but I m not yet exactly sure why Then 2 1 1 2 1 2 2 2 1 2 1 2 1 4 2 3

Rule 1 a 1 m a 1 n a 1 m 1 n Rule 2 a 1 m a 1 n a 1 m 1 n Rule 3 a 1 m b 1 m ab 1 m Rule 4 a 1 m b 1 m a b 1 m Rule 5 a m n 1 a m n These rules are very helpful while simplifying fractional exponents Let us now learn how to simplify fractional exponents Simplifying Fractional Exponents This online calculator puts calculation of both exponents and radicals into exponent form To calculate exponents such as 2 raised to the power of 2 you would enter 2 raised to the fraction power of 2 1 or 22

2 3 to the 2 power as a fraction

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X frac n d sqrt d x n sqrt d x n xdn d xn d x n Let s have a look at the example where the fractional exponent 3 2 and x 16 16 3 2 16 3 1 2 16 3 1 2 16 4096 64 Or alternatively we can write that 16 3 2 16 1 2 3 16 1 2 3 16 4 64 For example when raising a fraction like 2 3 to the third power multiply the numerators 2 2 2 8 and the denominators 3 3 3 27 to get the result 8 27 This method applies to all powers making it easy to understand and apply

POWERS OF FRACTIONS Exponential notation is a shorthand way of expressing repeated multiplication of a number In this notation base is the number that is multiplied and exponent shows the number of times the Rules for Raising a Fraction to a Power To raise a fraction to the power n you need to raise the numerator and denominator of the fraction to the power n For example 2 5 3 2 3 5 3 8 125

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This turns the power problem into a fraction multiplication problem where you multiply the numerators together and the denominators together In the case of this example a is the numerator and Power of a fraction rule 2 5 3 2 3 5 3 2 x 2 x 2 5 x 5 x 5 8 125 What is a fraction to a power A fraction to a power is simply raising a fraction such as 3 5 to a power such

Purplemath What is a rational or fractional exponent A rational that is a fractional exponent is a power that is expressed as a fraction and which represents a radical For instance the expression small 8 frac 1 Calculators Mathematics Fraction Calculator Use this fractions calculator to easily perform arithmetic calculations with fractions Add subtract multiply and divide fractions as well as raise a fraction to power fraction or not Supports evaluation of mixed fractions e g 2 1 3 and negative fractions e g 2 3

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2 3 to the 2 power as a fraction - a b 1 m is an m th root of a b for example 4 9 1 2 4 9 2 3 So you end up with 1 m root a b n Ex 16 25 3 2 1 16 25 3 2 1 16 25 1 2 3 1 16 25 3 1 4 5 3 1 64 125 125 64