(18)^2 (12)^8 is equal to (A) 2 (B) 4 (C) 8 (D) 16 (E) 32

(18)^2(12)^8 = 1641256 = 164 2561 = 4

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South African Mathematics Olympiad First Round

South Africa algebra

Problem

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

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

Solution

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

Final answer

Techniques

Fractions