Find the value of the following expression:

Question

(2^8 ⋅ 5−5 ⋅ 19^0)−2 ⋅ (5-2/2^3)^4 ⋅ 2^28 (5 points)

Write your answer in simplified form. Show all of your steps. (5 points)
Please somebody help me I'm so confused. I know I'm supposed to use PEMDAS and I know 2^8= 25, 19^0=1, 2^3=8, and 2^28= 268435456.The rest I have no idea what to do. I would really appreciate it if somebody could help! :/

Answer 1

I saw this one posted earlier, as

(2^8 ⋅ 5^−5 ⋅ 19^0)^−2 ⋅ (5^-2/2^3)^4 ⋅ 2^28

= (2^-16 ⋅ 5^10 ⋅ 1)⋅(5^-8 / 2^12) ⋅ 2^28

= 2^(-16-12+28) ⋅ 5^(10-8)

= 2^0 ⋅ 5^2
= 1 ⋅ 25
= 25

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