Indices - Jamb Mathematics Past Questions and Answers

Question 21:

• JAMB 1980

If it is given that 5^{x + 1} + 5^x = 150, then the value of x is equal to

A. 3
B. 4
C. 1
D. 2
E. \(\frac{1}{2}\)

Question 22:

• JAMB 1981

simplify \(\frac{6^{2n + 1} \times 9^n \times 4^{2n}}{18^n \times 2^n \times 12^{2n}}\)

A. 3²ⁿ
B. 3 x 2^{3n - 1}
C. 2ⁿ
D. 6
E. 1

Question 23:

• JAMB 1983

If \((\frac{2}{3})^{m} (\frac{3}{4})^{n} = \frac{256}{729}\), find the values of m and n.

A. M = 4, n = 2
B. M = -4, n = -2
C. M = -4, n =2
D. M = 4, n = -2
E. M = -2, n = 4

Question 24:

• JAMB 1983

Simplify \(\sqrt[3]{\frac{27a^{-9}}{8}}\).

A. \(\frac{9a^2}{2a^3}\)
B. \(\frac{3}{2a^3}\)
C. \(\frac{2}{3a^2}\)
D. \(\frac{3a^2}{2}\)

Question 25:

• JAMB 1984

Simplify \(\frac{3^n - 3^{n - 1}}{3^3 \times 3^n - 27 \times 3^{n - 1}}\)

A. 1
B. 6
C. \(\frac{1}{27}\)
D. \(\frac{4}{3}\)