Exponent Rules Calculator (Product, Quotient, Power)
Use this free exponent rules calculator to apply the laws of exponents. Multiply or divide powers with the same base, or raise a power to a power, and see the simplified result and its value with the rule explained.
The exponent rules
- Product rule: bᵐ × bⁿ = b^(m+n)
- Quotient rule: bᵐ ÷ bⁿ = b^(m−n)
- Power rule: (bᵐ)ⁿ = b^(m·n)
Enter the base and exponents, choose the operation, and the calculator applies the right rule step by step.
Original price was: $109.99.$54.99Current price is: $54.99.
Frequently asked questions
What is the product rule of exponents?
When multiplying powers with the same base, add the exponents: bᵐ × bⁿ = b^(m+n).
What does a negative exponent mean?
A negative exponent means a reciprocal: b⁻ⁿ = 1/bⁿ. The calculator shows the fraction value.
Original price was: $109.99.$54.99Current price is: $54.99.
Why must the bases be the same?
The product and quotient rules only apply when the base is identical; otherwise the powers cannot be combined by adding or subtracting exponents.
Original price was: $109.99.$54.99Current price is: $54.99.
Read the full lesson: learn the method step by step.
Original price was: $27.99.$17.99Current price is: $17.99.
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