Question

Help help help it is simple one​

Answer 1

Answer:

$3^{ -x+3}$

Step-by-step explanation:

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

$\rm\implies \dfrac{\dfrac{1}{3}}{3^{x-4}}$

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

$\rm\implies \red{\dfrac{a^m}{a^n}= a^{m-n}}$

Note that , we can write ,

$\rm\implies \dfrac{1}{3}= 3^{-1}$

Therefore our expression becomes ,

$\rm\implies \dfrac{ 3^{-1}}{3^{x-4}}$

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 ,

$\rm\implies \boxed{\quad \blue{ 3^{-x+3} \quad}}$