Enter the numerator, denominator and exponent.

Exponent:

RESULT

$\mathbf{\LARGE{(} \normalsize \color{#3a5998} \dfrac{5}{10} \color{black}\LARGE{)} \normalsize^{\color{chocolate}-3} = 8}$

DESCRIPTIONS

📕 $\mathbf{\LARGE{(} \normalsize \color{#3a5998} \dfrac{5}{10} \color{black}\LARGE{)} \normalsize^{\color{chocolate}-3}}$ is the 3^rd power of $\mathbf{\color{#3a5998} \dfrac{10}{5}\color{black}=\color{olive}2}$ .

$\mathbf{\LARGE{(} \normalsize \color{#3a5998} \dfrac{5}{10} \color{black}\LARGE{)} \normalsize^{\color{chocolate}-3} = (\color{olive}2\color{black})^{\color{chocolate}3} = }$ $\color{olive}2\color{black}\:x$ $\color{olive}2\color{black}\:x$ $\color{olive}2\color{black}$ $=\mathbf{8}$

OTHER INFORMATION

👉 $\mathbf{\color{#3a5998} \dfrac{5}{10}}$ simplifies to $\mathbf{\color{olive} \dfrac{1}{2}}$ .

👉 $\mathbf{\color{olive} \dfrac{1}{2}}$ a positive proper fraction.

👉 $\mathbf{8}$ a positive whole number.

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INFORMATION

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 base is used as a factor in the multiplication.

If the base is a fraction, the exponent indicates how many times this fraction is used as a factor in the multiplication.

$Powers of fractions$

WHAT IS POWERS OF FRACTIONS-CALCULATOR?

Powers of fractions calculator,

Computes the specified power of the entered fraction,
Describes the meaning of the entered exponential number,
Checks whether the entered fraction is proper or not and
Checks whether the result is proper or not.

HOW TO USE POWERS OF FRACTIONS-CALCULATOR?

You can use powers of fractions calculator in two ways.

USER INPUTS

You can enter numbers to the input boxes and click on the "CALCULATE" button. The result and explanations appaer below the calculator
RANDOM INPUTS

You can click on the DIE ICON next to the input boxes. If you use this property, random numerator, denumerator and exponent are generated and entered to the calculator, automatically. You can see the result and explanations below the calculator. You can create your own examples and practice using this property.
CLEARING THE INPUT BOX

To check the exponent of other fractions you can clear the input box by clicking on the CLEAR button under the input box.
COPYING & DOWNLOADING THE SOLUTION
- You can copy the generated solution by clicking on the "Copy Text" link, appaers under the solution panel.
- Even you can download the solution as an image file with .jpg extension if you click on the "Download Solution" link at the bottom of the solution panel. You can share the downloaded image file.