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The Quotient Rule of Exponents

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State

The quotient rule of exponents states that dividing powers of the same base subtracts the exponents: aᵐ / aⁿ = aᵐ⁻ⁿ for nonzero a.

Show

5⁷ / 5⁴ cancels four factors of 5 and leaves 5³ = 125.

Watch for

Subtract top minus bottom, in that order.

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