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
The spelled result in words is one sixteenth.How do we solve fractions step by step?
- Exponentiation: 1/2 ^ 4 = 0.0625 = 1/16
Rules for expressions with fractions:
Fractions - write a forward slash to separate the numerator and the denominator, i.e., for five-hundredths, enter 5/100. If you use mixed numbers, leave a space between the whole and fraction parts.Mixed numerals (mixed numbers or fractions) - keep one space between the whole part and fraction and use a forward slash to input fraction i.e., 1 2/3 . A negative mixed fraction write for example as -5 1/2.
A slash is both a sign for fraction line and division, use a colon (:) for division fractions i.e., 1/2 : 1/3.
Decimals (decimal numbers) enter with a decimal dot . and they are automatically converted to fractions - i.e. 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) |
The calculator follows well-known rules for the order of operations. The most common mnemonics for remembering this order of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Order, Division, Multiplication, Addition, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.
MDAS - Multiplication and Division have the same precedence over Addition and Subtraction. The MDAS rule is the order of operations part of the PEMDAS rule.
Be careful; always do multiplication and division before addition and subtraction. Some operators (+ and -) and (* and /) have the same priority and must be evaluated from left to right.
Fractions in word problems:
- Oranges
There are 50 oranges in a bag. If ten of these oranges are bad, what fraction of them are good? - The cat
The cat starts with 4/6 of a cup in his bowl. It eats 1/4 of a cup of food. How much food is left? - Improper to mixed number
Convert improper fraction 34/7 to a mixed fraction. - I read
I read 24 pages of a book. Three-fifth part of the book is still left for reading. How many pages does the whole book have?
- A quarter 2
A quarter of the 72 sandwiches contain cheese. The rest contain ham. How many are ham sandwiches? - 19 boy
Nineteen boys in section 1 and 23 boys in section 2. If 2/6 of them are boy Scouts, how many boy scouts are them? - Three 210
Three friends share 4/5 of a pizza. What fraction of pizza does each person get?
more math problems »
Last Modified: December 30, 2024
