Powerful expressions

Put these expressions in order, from smallest to largest.
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
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Put these expressions in order from smallest to largest:

a) $2^7+2$

b) $2\left(4^3\right)-2$

c) $8^2+4^3$

d) $8\times4\times2$


This problem is adaped from the World Mathematics Championships