This set of Basic Discrete Mathematics Questions and Answers focuses on “Rules of Exponents”.

1. For some number b, (^{1}⁄_{b})^{-n} is equal to:

a) -b^{n}

b) n^{b}

c) b^{n}

d) None of the mentioned

View Answer

Explanation: b

^{-1}reciprocal of b.

2. If ab = 1, where a and b are real numbers then:

a) a = b^{-1}

b) b = a

c) a = b = 2

d) None of the mentioned

View Answer

Explanation: This means that a is inverse of b or b is inverse of a.

3. If a is a real number than a^{0} is defined as:

a) 0

b) a

c) 1

d) None of the mentioned

View Answer

Explanation: Any number to the power zero is one.

4. For some number a, b and c, c^{a} x c^{b} is equal to :

a) c^{a-b}

b) c^{a+b}

c) c

d) None of the mentioned

View Answer

Explanation: If base are same then exponenents powers are added.

5. For some number a, b and c, c^{a}/c^{b} is equal to :

a) c^{a-b}

b) c^{a+b}

c) c

d) None of the mentioned

View Answer

Explanation: If base are same then exponenents powers are added, 1/c

^{b}= c

^{-b}.

6. State whether the given statement is true or false

Exponentiation is commutative.

a) True

b) False

View Answer

Explanation: A

^{b}is not equal to b

^{A}, exponentiation is not commutative.

7. State whether the given statement is true or false

Exponentiation is associative.

a) True

b) False

View Answer

Explanation: Exponentiation is not associative.

8. If 2^{a-b} = 1 then the value of a-b is equal to :

a) 1

b) 0

c) 2

d) none of the mentioned

View Answer

Explanation: 1 = 2

^{0}, so a-b = 0.

9. For some number a, b and c, a^{c} x b^{c} is equal to :

a) (ab)^{c}

b) (ac)^{b}

c) (cb)^{a}

d) None of the mentioned.

View Answer

Explanation: If power are same then bases are multiplied.

10. If 0^{a} is not equal to zero then which of the values a cannot take :

a) 1

b) 2

c) -1

d) 0

View Answer

Explanation: a

^{0}= 1, for any real number.

**Sanfoundry Global Education & Learning Series – Discrete Mathematics.**

To practice basic questions and answers on all areas of Discrete Mathematics, __here is complete set of 1000+ Multiple Choice Questions and Answers__.