Exponent Rules

Front

What is the power of a power rule in exponents?

Back

When raising a power to another power, multiply the exponents: \( (a^m)^n = a^{m \cdot n} \)

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Back

Front

What is the quotient rule in exponents?

Back

When dividing two powers with the same base, subtract the exponents: \( \frac{a^m}{a^n} = a^{m-n} \)

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Back

Front

What is the product rule in exponents?

Back

When multiplying two powers with the same base, add the exponents: \( a^m \cdot a^n = a^{m+n} \)

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Back

Front

What is the value of any non-zero number raised to the power of zero?

Back

Any non-zero number raised to the power of zero equals 1: \( a^0 = 1 \) for \( a \neq 0 \)

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Front

What happens when you raise a product to a power?

Back

When raising a product to a power, raise each factor to that power: \( (ab)^n = a^n b^n \)