Question

Describe how to simplify the expression 3^-6/3^-4

Answer 1

(7-4)=3
(8-5)=3
now we have
2*3+6 / 3+3
2*3 is 6
now we have
6+6/3+3
12/6
2

Answer 2

the simplified expression is 1/9

Explanation:

The given expression is
`(3^(-6))/(3^(-4))`

We can apply the exponent law:
`(x^a)/(x^b)=a^(a-b)`

Applying this law, we get

`(3^(-6))/(3^(-4))\\\\=3^(-6+4)\\\\=3^(-2)`

Now, apply the exponent rule:
`x^(-a)=(1)/(x^a)`

`3^(-2)=(1)/(3^2)\\\\=(1)/(9)`

Hence, the simplified expression is 1/9