Question

Applying the product rule to expression \left(3^3\div 3^4\right)^5gives us Answer raised to the power of Answerdivided by Answer raised to the power of AnswerSimplify that into a reduced fraction.The numerator is AnswerThe denominator is Answer

Answer 1

Given the expression

`(3^3/3^4)^5`

Using product rule

`\begin{gathered} (3^3/3^4)^5=((3^3)/(3^4))^5 \\ =(3^(3-4))^5=(3^(-1))^5 \\ =3^(-1*5)=3^(-5) \end{gathered}`

Where

`3^(-5)=(1)/(3^5)=(1)/(243)`

Hence, answer is 1/243

`(3^3/3^4)^5=(1)/(243)`

The numerator is 1

The denominator is 243