# Exponents And Surds Questions and Answer Set 1

Hi students, welcome to **Amans Maths Blogs (AMB)**. On this post, you will get the **Exponents and Surds Question and Answer Set 1**. It will help you to practice the questions on the topics of maths as exponents and surds based questions of algebra.

**Exponents And Surds Questions and Answer Set 1: Ques No 1**

The expression can be rewritten as

**Options:**

A. x^{12/16}

B. x^{15/16}

C. x^{24/16}

D. x^{31/16}

**Answer: D**

**Exponents And Surds Questions and Answer Set 1: Ques No 2**

If 10^{0.48} = *x*, 10^{0.70} = *y* and *x*^{z} = *y*^{2}, then the value of *z* is

**Options:**

A. 35/10

B. 25/36

C. 35/12

D. 27/16

**Answer: C**

**Exponents And Surds Questions and Answer Set 1: Ques No 3**

The simplification of is

**Options:**

A. 1

B. 2

C. (b – a)/(a – b)

D. 1/ab

**Answer: C**

**Exponents And Surds Questions and Answer Set 1: Ques No 4**

If 6^{a} = 2, 6^{b} = 5 and 6^{c} = 15, then the value of c in terms of a and/or b is

**Options:**

A. b + 3

B. 5a + b

C. b2 – 2b

D. b – a + 1

**Answer: D**

**Exponents And Surds Questions and Answer Set 1: Ques No 5**

If a^{2}+b^{2}+c^{2} = ab+bc+ca, then the simplification of [x^{a}/x^{b}]^{a-b} * [x^{b}/x^{c}]^{b-c} * [x^{c}/x^{a}]^{c-a }is

**Options:**

A. 0

B. 1

C. x

D. 1/x

**Answer: C**

**Exponents And Surds Questions and Answer Set 1: Ques No 6**

If 3^{x-y }= 81 and 3^{x+y }= 729, then the value of x is

**Options:**

A. 1

B. 5

C. 2

D. 4

**Answer: B**

**Exponents And Surds Questions and Answer Set 1: Ques No 7**

The value of is

**Options:**

A. 1.00

B. 1.25

C. 1.50

D. 1.75

**Answer: A**

**Exponents And Surds Questions and Answer Set 1: Ques No 8**

The simplification of is

**Options:**

A. 1

B. 4

C. 2^{n}

D. 1/2^{n}

**Answer: B**

**Exponents And Surds Questions and Answer Set 1: Ques No 9**

If log_{2} 4 * log_{4} 8 * log_{8} 16 * ……………n^{th} term = 49, then the value of n is

**Options:**

A. 49

B. 48

C. 34

D. 24

**Answer: B**