Question

What is the fastest and quickest way to solve it. I am struggling with this problem. Any help would be appreciated. Answer is needed. The question is linked below.

Answer 1

1

Explanation:

`\displaystyle \frac{\sqrt{3^(-2)}*27}{9^(-2)*(3^3)^2}\\\\=\frac{\sqrt{(1)/(3^2)}*27}{(1)/(9^2)*(27)^2}\\\\=((1)/(3))/((1)/(81)*27)\\\\\\=((1)/(3))/((27)/(81))\\\\\\=((1)/(3))/((1)/(3))\\\\\\=1`

Make sure in the 2nd step that you cancel out the 27 in the numerator and reduce the exponent in the denominator by 1. Also, know that numbers to a negative exponent produce the reciprocal of that number to the exponent [i.e. 3^(-2) = 1/(3^2)]