How this calculator works
A product of powers with the same base keeps that base and adds the exponents. Each original factor must be defined before the rule can be used. Negative bases require integer exponents here; exact fractional powers of a negative base belong in the fractional exponent tool.
Formula
b^m * b^n = b^(m + n).
Worked example
2^3 times 2^4 = 2^7 = 128. Also, 10^(-2) times 10^1 = 10^(-1) = 0.1.
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Frequently asked questions
Must the bases match?
Yes. Enter the common base. Different bases generally cannot be combined by this rule.
Can exponents be negative?
Yes, as long as the base is non-zero and each original power has a finite real value.
Can the base be zero?
Only when both original exponents are positive. Zero to the zero power is rejected.