Fraction raising

When raising fractions to a power, both the numerator and the denominator must be raised to the power.

This property corresponds to another record of property No. 5 “Private degree”, reviewed on the previous page.

Examples of fraction raising.

• 
• (

  3 • b

  5c

  ) ² =

  3 2 • b 2

  5 2 • c 2

  =

  9 • b 2

  25 • c 2

  =

  9b 2

  25c 2

How to raise a mixed number

To raise the power of a mixed number, we first get rid of the integer part, turning the mixed number into an irregular fraction. After that, we raise to the power both the numerator and the denominator.

Example.

The formula for raising to the power of a fraction is used both from left to right and from right to left, that is, in order to divide the degrees by the same indicators, one base can be divided by another, and the exponent should be left unchanged.

• Example. Find the value of the expression in a rational way.

On our website you can also check your calculations and take the number to the power online.