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ITMC 2018 Grade 7 National Preliminary set01 Question 15

ITMC · ITMC 2018 Grade 7 National Preliminary set01

Question 15

Exponentiation $b^n$ has base $b$ and exponent $n$. For positive integer $n$, it means multiplying $n$ copies of $b$. For example, $3^2=9$, with base 3 and exponent 2. A tower is evaluated from the top: $3^{2^4}=3^{16}$ has base 3 and exponent $2^4=16$, not base $3^2$ and exponent 4. The latter requires parentheses: $(3^2)^4=3^8$.

Find the units digit of $2^{3^4}+(2^3)^4$.
  1. 2
  2. 4
  3. 6
  4. 8
  5. 0