Calculator input
Use explicit multiplication signs when needed, such as 3*(2^4). Parentheses help preserve the intended order.
Example data table
| Example expression | Meaning | Answer | Main rule used |
|---|---|---|---|
| (2+3)^2 | Square the grouped sum | 25 | Parentheses before exponents |
| 4^2+3 | Power first, then addition | 19 | Exponent before addition |
| 2^3^2 | Raise 2 to the power of 9 | 512 | Right-associative exponent order |
| (-3)^2+5 | Square the negative base | 14 | Signed base inside parentheses |
| 6/2^2 | Divide by four | 1.5 | Exponent before division |
| 2^-3+1 | Add one to a negative exponent value | 1.125 | Reciprocal power rule |
Formula used
Order of operations: Parentheses, exponents, multiplication and division, then addition and subtraction.
Exponent rule: an means multiplying the base a by itself n times.
Negative exponent rule: a-n = 1 / an, when a is not zero.
This calculator converts your expression into Reverse Polish Notation, then evaluates it step by step. That process preserves exponent precedence and handles grouped terms safely.
Unary signs are separated from subtraction. This helps expressions like -2^2 and (-2)^2 produce different, mathematically consistent answers.
How to use this calculator
- Enter your numerical expression with exponents in the main field.
- Use the caret symbol for powers, such as 5^3.
- Add parentheses around grouped values or negative bases when needed.
- Choose decimal places for the displayed answer and graph values.
- Leave graph exponent override blank to auto-detect a simple exponent.
- Set the graph range and point count for the Plotly chart.
- Press the button to view the result above the form.
- Download the result as CSV or PDF for revision.
FAQs
1. How do I write exponents here?
Use the caret symbol for powers, such as 3^4. Add parentheses when grouping terms, like (2+5)^2, so the calculator follows the intended order.
2. Can I use negative numbers and negative exponents?
Yes. Expressions like 2^-3 and (-4)^2 are supported. The calculator separates unary minus from subtraction to keep exponent rules consistent.
3. Does this solve algebraic equations?
No. This page evaluates numerical expressions only. It does not solve equations with unknown variables or simplify symbolic algebra.
4. Which order of operations does it follow?
Standard order applies: parentheses first, exponents next, multiplication and division after that, then addition and subtraction from left to right.
5. What does the graph represent?
The graph visualizes y = x^n using your chosen or detected exponent. It helps compare growth patterns related to the power used in your expression.
6. What is included in the CSV and PDF downloads?
CSV stores your expression, answer, settings, and graph exponent in a spreadsheet-friendly format. PDF creates a clean summary for notes, homework, or review.
7. Why am I seeing an input error?
Most issues come from missing parentheses, repeated operators, or unsupported symbols. Use numbers, decimals, +, -, *, /, ^, and parentheses.
8. Can students use this for practice checks?
Yes. The example table shows common patterns, and the steps section explains how grouped powers and arithmetic operations were processed.