Question

Find the value of x (1/3)^2•(1/3)^x=1/729

Answer 1

`\left((1)/(3)\right)^2\cdot\left((1)/(3)\right)^x=(1)/(729)\\\\\left((1)/(3)\right)^(2+x)=\left((1)/(3)\right)^6\iff2+x=6\ \ \ \ |-2\\\\\boxed{x=4}\\\\\text{used:}\\\\a^n\cdot a^m=a^(n+m)`