Question

HELP IM STUCK IN THIS PROBLEM >_<
I WILL FAN AND MEDAL!!!!!
Find the value of the following expression:

(2^8 ⋅ 3^–5 ⋅ 6^0)^–2 ⋅ (3^-2 / 2^3)^4 ⋅ 2^28

Write your answer in simplified form. Show all of your steps.

Answer 1

@bbypanda16

Answer 2

@adll23

Answer 3

step by step, we have:
\[\huge {\left( {{2^3}} \right)^4} = {2^{3 \cdot 4}} = ...?\]

Answer 4

@Michele_Laino 4096?

Answer 5

correct! better is \( 2^{12}\)

Answer 6

now,, what is:
\[\huge {\left( {{3^{ - 2}}} \right)^4} = {3^{\left( { - 2 \cdot 4} \right)}} = ...?\]
please give your answer in form of power