Answer:
⇛65,472.
Step-by-step explanation:
Given expression is 2^2^2^2 - [(2^2)^3]
⇛ 2^2^4 - [2^(2×3)]
Since (a^m)^n = a^(mn)
⇛ 2^16 - [2^6]
Since (a^m)^n = a^(mn)
⇛ 2^(10+6) - (2^6)
⇛ (2^10 × 2^6)-(2^6)
Since a^m × a^n = a^(m+n)
⇛ 2^6[(2^10)-1]
⇛ 64×(1024-1)
⇛ 64×(1023)
⇛65,472
Answer ↓
The value of the given expression is 65472.
Read more:
simplified form of ( (2^-2) )^-3 x ( (2^-3) )^2....
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