Answer:
[tex]3^{-6}[/tex] or 1/729
Step-by-step explanation:
First recognize that 1/9 is equal to 3^-2
This is because when we add a negative exponent to a number we start to express its exponents as a fraction of 1.
Let me further explain
6^1 = 6
6^2 = 36
So... using this logic
6^-1 = 1/6
6^-2 = 1/36
So for this problem..
1/9 = 3^-2
Then we have a power to a power which when you have a power raised to a power, you multiply
So.. (3^-2)^3 = 3 which is the base to the power of -2 x 3 which is -6
So the answer is 3^-6
Which equals 1/3^6 power which is 1/729.
