(18)^2 2^8 is equal to (A) 2 (B) 4 (C) 8 (D) 16 (E) 32

(18)^2 2^8 = 164 256 = 4 OR (12^3)^2 2^8 = 164 2^8 = 2^2 = 4

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South African Mathematics Olympiad First Round

South Africa algebra

Problem

(\frac{1}{8})^{2} \times 2^{8}

is equal to (A) 2 (B) 4 (C) 8 (D) 16 (E) 32

Solution

(\frac{1}{8})^{2} \times 2^{8} = \frac{1}{64} \times 256 = 4

(\frac{1}{2 ^{3}})^{2} \times 2^{8} = \frac{1}{64} \times 2^{8} = 2^{2} = 4

Final answer

Techniques

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