Simplification of x^(1/5) · x^(2/5) is:
- x^(2/25)
- x^(2/5)
- x^(3/5)
- x^(3/25)
Show answer and explanation
Answer: C. x^(3/5)
Add exponents: 1/5 + 2/5 = 3/5.
Matric General Mathematics: Exponents and Logarithms, questions with answers
Practise 23 real Federal Board questions on Exponents and Logarithms from 2023 to 2026. See the answer and explanation as soon as you answer.
23real questions
8multiple choice
5exam sessions
About Exponents and Logarithms in Matric General Mathematics
Exponents and Logarithms is one of the 9 main chapters in our Federal Board Matric General Mathematics question bank (9th class), and about 7% of its real questions come from it. Tayyari Karo has 23 real questions on this chapter from 2023 to 2026; 8 are multiple choice and marked instantly, and the rest are short and long questions with a model answer. By difficulty: 11 medium, 6 easy, 6 hard.
Work through the questions below, then open the explanation for each one. Redo the ones you missed a few days later.
Try 8 real questions
These are real past-paper questions. Think of your answer first, then open the explanation.
The logarithm calculated to the base "10" is called:
- Mantissa
- Common logarithm
- Characteristic
- Natural number
Show answer and explanation
Answer: B. Common logarithm
Logarithm to base 10 is the common logarithm.
What is scientific notation of 0.00018?
- 1.8×10⁻²
- 1.8×10⁻⁴
- 18×10²
- 18×10³
Show answer and explanation
Answer: B. 1.8×10⁻⁴
0.00018 = 1.8 × 10⁻⁴.
What is scientific notation of 0.0000281?
- 2.81×10⁵
- 281×10⁻⁷
- 281×10⁴
- 2.81×10⁻⁵
Show answer and explanation
Answer: D. 2.81×10⁻⁵
0.0000281 = 2.81 × 10⁻⁵.
Which of the following statement is FALSE?
- log₁₀10 = 1
- log₁₀1 = 0
- log(2+3) = log(2×3)
- log(2×3) = log2 + log3
Show answer and explanation
Answer: C. log(2+3) = log(2×3)
log(2+3) = log 5 while log(2×3) = log 6, so they are not equal.
Log√8 / Log 8 = ______
- 1/6
- 1/4
- 1/2
- 1/8
Show answer and explanation
Answer: C. 1/2
log√8 = log 8^(1/2) = (1/2) log 8, so the ratio is 1/2.
Simplify and express with positive indices: (2⁻³a⁴b)⁻¹ × (4⁻²b⁻⁵)
Show model answer
(2⁻³a⁴b)⁻¹ = 2³ a⁻⁴ b⁻¹ = 8/(a⁴ b).
4⁻² b⁻⁵ = 1/(16 b⁵).
Product = 8/(16 a⁴ b⁶) = 1/(2 a⁴ b⁶).
Simplify the following: 5a^(3/4) b^(3/5) / (20 a^(1/5) b^(1/4))
Show model answer
= (5/20) a^(3/4 − 1/5) b^(3/5 − 1/4)
3/4 − 1/5 = 11/20; 3/5 − 1/4 = 7/20.
Answer: (1/4) a^(11/20) b^(7/20).
Sessions with Exponents and Logarithms questions
| Session | Questions |
|---|---|
| 2026 Annual | 5 |
| 2025 1st Annual | 4 |
| 2025 2nd Annual | 4 |
| 2024 Annual | 5 |
| 2023 Annual | 5 |
Common questions
What does the Exponents and Logarithms chapter cover on this page?
23 real Federal Board (FBISE) General Mathematics questions on Exponents and Logarithms from 2023 to 2026, for 9th class. Each one shows the session it came from.
Are the answers official?
No. We could not find an official FBISE marking scheme for these papers, so the answers and explanations are written by Tayyari Karo for practice. Check anything important with your teacher or textbook.
Is it free?
You can start free with no signup. A small set of papers per subject is free, and Premium unlocks the full question bank.