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Sarah wrote that (3^5)^7 = 3^12. Correct her mistake. Write an exponential expression using a base of 3 and exponents of 5,7,12 that would make her answer correct.

User PyAddict
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2 Answers

5 votes

(3^5)^7=3^(5\cdot7)=3^(35)\\ \\3^5\cdot3^7=3^(5+7)=3^(12)
User Sagar Zala
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6 votes

\left(3^5\right)^7=3^(5\cdot7)=3^(35)\\eq3^(12)\\\\\\3^5\cdot3^7=3^(5+7)=3^(12)
User Calvinf
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