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

Applying the product rule to expression left33div 34right5gives us Answer raised to the power of Answerdivided by Answer raised to the power of AnswerSimplify t class=

Respuesta :

Given the expression

[tex](3^3\div3^4)^5[/tex]

Using product rule

[tex]\begin{gathered} (3^3\div3^4)^5=(\frac{3^3}{3^4})^5 \\ =(3^{3-4})^5=(3^{-1})^5 \\ =3^{-1\times5}=3^{-5} \end{gathered}[/tex]

Where

[tex]3^{-5}=\frac{1}{3^5}=\frac{1}{243}[/tex]

Hence, answer is 1/243

[tex](3^3\div3^4)^5=\frac{1}{243}[/tex]

The numerator is 1

The denominator is 243