Laws of Exponents

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What is the Product Rule of Exponents?

Back

When multiplying two powers with the same base, add the exponents: a^m * a^n = a^(m+n).

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What is the Power of a Power Rule?

Back

When raising a power to another power, multiply the exponents: (a^m)^n = a^(m*n).

Front

What is the Power of a Product Rule?

Back

When raising a product to a power, apply the exponent to each factor: (ab)^n = a^n * b^n.

Front

What is the Power of a Quotient Rule?

Back

When raising a quotient to a power, apply the exponent to both the numerator and denominator: (a/b)^n = a^n / b^n.

Front

What does the Zero Exponent Rule state?

Back

Any non-zero base raised to the power of zero equals one: a^0 = 1.

Front

What is the Negative Exponent Rule?

Back

A negative exponent indicates the reciprocal: a^(-n) = 1/a^n.

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Front

What is the Division Rule of Exponents?

Back

When dividing two powers with the same base, subtract the exponents: a^m / a^n = a^(m-n).

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