passwella.
Menu

JAMB Mathematics 1983 Question 32

Question 32

Indices

If (2/3)m (3/4)n = 256/729, find the values of m and n.

  1. A.m = 4; n = 2
  2. B.m = −4, n = −2
  3. C.m = −4, n = 2
  4. D.m = 4, n = −2
  5. E.m = −2, n = 4.
Show the answer and explanation

Answer: D (m = 4, n = −2)

Explanation

The left side is 2^(m − 2n) × 3^(n − m) and 256/729 = 2⁸ × 3⁻⁶. So m − 2n = 8 and n − m = −6, giving n = −2 and m = 4.