Question

6.
What is the value of​

Answer 1

`\large\boxed{(1)/(27)}`

Explanation:

`(\left((1)/(3)\right)^2\cdot\left((1)/(3)\right)^(-7))/(\left[\left((1)/(3)\right)^4\right]^(-2))\\\\\text{use}\\\\a^n\cdot a^m=a^(n+m)\\\\(a^n)/(a^m)=a^(n-m)\\\\(a^n)^m=a^(nm)\\\\=(\left((1)/(3)\right)^(2+(-7)))/(\left((1)/(3)\right)^((4)(-2)))=(\left((1)/(3)\right)^(-5))/(\left((1)/(3)\right)^(-8))=\left((1)/(3)\right)^(-5-(-8))\\\\=\left((1)/(3)\right)^(-5+8)=\left((1)/(3)\right)^3=(1^3)/(3^3)=(1)/(27)`