Write Using Positive Exponents Calculator

How to Write Numbers with Positive Exponents

Positive exponents indicate how many times a number (the base) is multiplied by itself. The general form is:

For example, 2³ means 2 multiplied by itself 3 times: 2 × 2 × 2 = 8.

When writing exponents in mathematical expressions, follow these formatting rules:

1. Place the exponent slightly above and to the right of the base using superscript notation
2. Use parentheses when the base is more than one digit or a variable
3. For multiplication of terms with exponents, combine like bases when possible

Key Rules for Positive Exponents

Product of Powers

When multiplying like bases, add the exponents.

Power of a Power

When raising a power to another power, multiply the exponents.

Power of a Product

When raising a product to a power, apply the exponent to each factor.

Negative Exponents

Examples of Writing with Exponents

Basic Example

Write 3 × 3 × 3 × 3 using exponents:

Multiplication Example

Combine 2³ × 2⁴:

Nested Exponents Example

Simplify (5²)³:

Common Mistakes to Avoid

1. Writing exponents as fractions (e.g., 2/3 instead of 2³)
2. Using multiplication signs between bases and exponents (e.g., 2 x 3 instead of 2 × 3)
3. Misplacing exponents (e.g., 2³4 instead of 2³ × 4)
4. Forgetting to use parentheses when needed (e.g., 23² instead of (23)²)