Calculator Exponentiation of a Fraction
This online calculator computes the exponents of fractions. Firstly find exponent of the numerator and place it over the exponent of the denominator. Then simplify the result to the lowest terms or a mixed number if possible.
1/2^4 = 1/16 = 0.0625
Spelled out: one sixteenth.How do we solve fractions step by step?
- Exponentiation: 1/2 ^ 4 = 14/24 = 1/16
To raise a fraction to a power, raise both the numerator and denominator to that power. Simplify if possible (reduce to lowest terms).
In other words, one half raised to the power of to four equals one sixteenth.
Rules for expressions with fractions:
Fractions - Use a forward slash to separate the numerator and denominator. For example, for five-hundredths, enter 5/100.Mixed numbers Leave one space between the whole number and the fraction part, and use a forward slash for the fraction. For example, enter 1 2/3 . For negative mixed numbers, write the negative sign before the whole number, such as -5 1/2.
Division of fractions - Since the forward slash is used for both fraction lines and division, use a colon (:) to divide fractions. For example, to divide 1/2 by 1/3, enter 1/2 : 1/3.
Decimals Enter decimal numbers using a decimal point (.), and they will be automatically converted to fractions. For example, enter 1.45.
Math Symbols
| Symbol | Symbol name | Symbol Meaning | Example |
|---|---|---|---|
| + | plus sign | addition | 1/2 + 1/3 |
| - | minus sign | subtraction | 1 1/2 - 2/3 |
| * | asterisk | multiplication | 2/3 * 3/4 |
| × | times sign | multiplication | 2/3 × 5/6 |
| : | division sign | division | 1/2 : 3 |
| / | division slash | division | 1/3 / 5 |
| : | colon | complex fraction | 1/2 : 1/3 |
| ^ | caret | exponentiation / power | 1/4^3 |
| () | parentheses | calculate expression inside first | -3/5 - (-1/4) |
Order of Operations
Ever wondered why calculators don't just work left to right? This calculator follows the mathematical order of operations — a set of rules that ensures everyone solves expressions the same way, every time.
Popular Memory Tricks
Different regions use different mnemonics to remember this order:
* PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
* BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction
* BODMAS - Brackets, Order (or "Of"), Division, Multiplication, Addition, Subtraction
* GEMDAS - Grouping symbols (parentheses, brackets, braces: (){}), Exponents, Multiplication, Division, Addition, Subtraction
The Golden Rules
Rule 1: Multiplication and division always come before addition and subtraction. Think of them as the VIPs that skip to the front of the line!
Rule 2: When operations have equal priority (like × and ÷, or + and −), work from left to right—just like reading a book.
Rule 3: Parentheses change the natural order of evaluation of operations.
Fractions in word problems:
- In the cafeteria
There are 18 students in Jacob's homeroom. Six students bring their lunch to school. The rest eat lunch in the cafeteria. In the simplest form, what fraction of students eat lunch in the cafeteria? - Recipical fraction
Calculate 5/9 divided by 8/5. Also state the reciprocal of the result. - Last Friday
3/4 of the children were present at school last Friday. If 90 children were present, how many were absent? - My whole
My whole number is 88 if you add 5 thousandths, 8 tenths, and 7 thousandths. What number will I be? - There 27
There are 24 colored cubes in a box. Three-quarters of the cubes are red, four of the cubes are blue, and the rest are green. How many green cubes are in the box? One more blue cube got put into the box. What fraction of the cubes in the box are blue? - Adding mixed fractions
Add these two mixed numbers: 1 5/6 + 2 2/11= - A newspaper's
A newspaper's cover page is 3/8 text, and photographs fill the rest. If 2/5 of the text is an article about endangered species, what fraction of the whole cover page is the article about endangered species?
more math problems »
Last Modified: August 5, 2026
