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

$\left(3^5\right)^7=3^{5\cdot7}=3^{35}\neq3^{12}\\\\\\3^5\cdot3^7=3^{5+7}=3^{12}$

Answer 2

$(3^5)^7=3^{5\cdot7}=3^{35}\\ \\3^5\cdot3^7=3^{5+7}=3^{12}$