Question

Help help help it is simple one​

Answer 1

`3^( -x+3)`

Explanation:

We need to simplify out the given exponential expression . The given expression to us is ,

`\rm\implies ((1)/(3))/(3^(x-4))`

We can use the Law of Exponents to simplify the given expression . Recall that ,

`\rm\implies \red{(a^m)/(a^n)= a^(m-n)}`

Note that , we can write ,

`\rm\implies (1)/(3)= 3^(-1)`

Therefore our expression becomes ,

`\rm\implies ( 3^(-1))/(3^(x-4))`

Simpify using the Law of Exponents ,

`\rm\implies 3^( -1 - ( x - 4 ))`

Open the brackets in exponent ,

`\rm\implies 3^( -1 - x +4 )`

Simplify to get final expression ,

`\rm\implies \boxed{\quad \blue{ 3^(-x+3) \quad}}`