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MathNet 2026 — Part 02 Question 50

Math Olympiad Vault · MathNet 2026 — Part 02

Question 50

an expression - the expression $\frac{a^{-2}}{a^{5}} \times \frac{4 a}{\left(2^{-1} a\right)^{-3}}$ where $a \neq 0$, is equal to:
  1. $\frac{a^{3}}{2}$
  2. $\frac{2}{a^{3}}$
  3. $\frac{1}{2 a^{3}}$
  4. $\frac{a^{5}}{2}$
  5. $\frac{2}{a^{5}}$