Properties of Exponents

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What is the property of exponents that allows you to combine variables with the same base?

Back

The property states that when multiplying like bases, you add the exponents: a^m • a^n = a^(m+n).

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Simplify: 2^4 • 2^5

Back

2^9.

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What happens to the exponents when you divide like bases?

Back

You subtract the exponents: a^m / a^n = a^(m-n).

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What is the zero exponent rule?

Back

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

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What is the negative exponent rule?

Back

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

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