Question

Pleaseeeee helppppppp Simplify [3^-2]^4

Answer 1

`(1)/(6561)`

Explanation:

This is a "power" raised to another "power" problem. Lets see the rule of exponents that dictates solving this type of problem.

Power rule of Exponents:

`(a^b)^c=a^(bc)`

We basically multiply the powers together. So this problem becomes:

`[3^(-2)]^4=3^(-2*4)=3^(-8)`

We can use another property to make it simpler. The property is:

`a^(-b)=(1)/(a^b)`

So, the problem becomes:

`(1)/(3^8)=(1)/(6561)`

In fractional form, this is the answer:
`(1)/(6561)`