Question

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.

Answer 1

`(3^5)^7=3^(5\cdot7)=3^(35)\\ \\3^5\cdot3^7=3^(5+7)=3^(12)`

Answer 2

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