Discrete Mathematics Questions and Answers – Number Theory and Cryptography – Rules of Exponents

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

1. For some number b, (¹⁄_b)^-n is equal to _________
a) -bⁿ
b) n^b
c) bⁿ
d) none of the mentioned
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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
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3. If a is a real number than a⁰ is defined as _________
a) 0
b) a
c) 1
d) -1
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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
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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
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6. State whether the given statement is true or false.
Exponentiation is commutative.
a) True
b) False
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7. State whether the given statement is true or false.
Exponentiation is associative.
a) True
b) False
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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
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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
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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
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Sanfoundry Global Education & Learning Series – Discrete Mathematics.

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