Multiplying Exponents Calculator

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Multiplying Exponents Calculator

Multiply powers with the same base by adding the exponents and reviewing the rule in a clean result panel.

Last updated: March 2026 | By ForgeCalc Engineering

Product Rule Solver

Same-base exponent rule

Rule Breakdown

1.Identify the common base: x
2.Identify the exponents: 2 and 3
3.Add the exponents: 2 + 3 = 5
4.Write the final expression: x^5
Resulting Term
x^2 × x^3 = x^(2 + 3) = x^5

x^5

What Is the Product Rule for Exponents?

When the bases match, you keep the base and add the exponents. This rule simplifies products of powers and is one of the most common exponent identities.

How to Multiply Powers with the Same Base

  1. Confirm that the bases are the same.
  2. Write the product as one power with that base.
  3. Add the exponents.
  4. Write the simplified expression.
a^m × a^n = a^(m+n)

Worked Example

Example: x² × x³ = x⁵.

2 + 3 = 5

Frequently Asked Questions

Can I add exponents when the bases are different?

No. The bases must match for the product rule to apply.

What if the exponents are negative?

The rule still applies. Add the exponents as written.

Can the base be a number?

Yes. The rule works for numeric bases too.

Does the calculator accept decimal exponents?

Yes. Any finite real exponents are accepted.

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