✓ Effortless Math · Free Tool

Exponent Rules Calculator

Apply the laws of exponents on the same base — the product, quotient, and power rules — to simplify a power and find its exact value, with full step-by-step working.

Same base:  bm ⋅ bn = bm+n,  bm ÷ bn = bm−n,  (bm)n = bm·n
base b power exp m operation exp n

Exponents should be whole numbers (negatives are fine). The base can be any number. Result exponents combine: add to multiply, subtract to divide, multiply to raise a power to a power.

Results

Simplified power
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Rule applied
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Result exponent
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Numeric value
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Expression
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Step-by-step