Exponent Properties Exercise

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What is the property of exponents that states \( \frac{a^m}{a^n} = a^{m-n} \)?

Back

This property allows you to simplify expressions by subtracting the exponents when dividing like bases.

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What is the property of exponents that states \( (a^m)^n = a^{m \cdot n} \)?

Back

This property allows you to simplify expressions by multiplying the exponents when raising a power to another power.

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What is the property of exponents that states \( a^m \cdot a^n = a^{m+n} \)?

Back

This property allows you to simplify expressions by adding the exponents when multiplying like bases.

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What is the property of exponents that states \( a^{-n} = \frac{1}{a^n} \)?

Back

This property allows you to express negative exponents as reciprocals.

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What is the property of exponents that states \( a^0 = 1 \) for any non-zero a?

Back

This property states that any non-zero number raised to the power of zero equals one.

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