Hi please answer the question below in the photo, While doing it could you also add your steps to get to your solution in a simple way! Thank you!

Hi please answer the question below in the photo While doing it could you also add your steps to get to your solution in a simple way Thank you class=

Respuesta :

Answer:

4

Step-by-step explanation:

Please find attached my workings (Brainly equation editor is not working for me at the moment)

Ver imagen semsee45

Answer:

4

Step-by-step explanation:

[tex] (3^8 \cdot 2^{-5} \cdot 9^0)^{-2} \cdot (\dfrac{2^{-2}}{3^3})^4 \cdot 3^{28} = [/tex]

[tex]= 3^{-2 \times 8} \cdot 2^{-5 \times (-2)} \cdot 1 \cdot \dfrac{2^{-2 \times 4}}{3^{3 \times 4}} \cdot 3^{28}[/tex]

[tex] = 3^{-16} \cdot 2^{10} \cdot \dfrac{2^{-8}}{3^{12}} \cdot 3^{28} [/tex]

[tex]= \dfrac{2^{10} \times 3^{28}}{3^{16} \cdot 2^{8} \cdot 3^{12}}[/tex]

[tex] = \dfrac{2^{2} \times 3^{28}}{3^{28}} [/tex]

[tex] = 4 [/tex]

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