Question

write the following in the simplest form using positive exponents in the final answer: (1/3)^5 • (1/3)^8

Answer 1

When you have (a^b)*(a^c), you can factor it by a^(b+c), in this case, it goes as follows:

$(\frac{1}{3})^5\cdot(\frac{1}{3})^8=(\frac{1}{3})^{5+8}=(\frac{1}{3})^{13}=\frac{1}{3^{13}}$