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The expression 3^2 ∙ 3^n simplifies to 3^20. What is the value of the exponent of n? Show your work. Explain which law of exponents supports your answer.

The expression 3^2 ∙ 3^n simplifies to 3^20. What is the value of the exponent of n? Show your work. Explain which law of exponents supports your answer.
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The expression 3^2 ∙ 3^n simplifies to 3^20.

What is the value of the exponent of n? Show your work. Explain which law of exponents supports your answer.

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User MichaelMoser
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8.2k points

1 Answer

3 votes

Answer: 18

Explanation:

3² * 3ⁿ = 3²⁰

3⁽²⁺ⁿ⁾ = 3²⁰

2 + n = 20

-2 -2

n = 18

answered
User Xdays
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7.9k points
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