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Question (31)

QN0018430

Simplify m⁵n¹²(mn)⁹.

(A) m¹⁴n²¹
(B) m⁴⁵n¹⁰⁸
(C) m⁵n¹²
(D) m⁹n⁹

Correct Answer: A

Explanation:

m⁵⁺⁹n¹²⁺⁹ = m¹⁴n²¹.

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Question (32)

QN0018431

The product of two cube numbers is always:

(A) A square number
(B) A cube number
(C) A prime number
(D) An odd number

Correct Answer: B

Explanation:

Product of cubes remains a cube.

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Question (33)

QN0018432

What is the value of 5⁻³?

(A) 1/125
(B) 125
(C) 1/25
(D) 25

Correct Answer: A

Explanation:

5⁻³ = 1/125.

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Question (34)

QN0018433

Simplify (2⁻⁴)(2⁷).

(A) 2⁻¹¹
(B) 2³
(C) 2¹¹
(D) 2⁻³

Correct Answer: B

Explanation:

−4 + 7 = 3.

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Question (35)

QN0018434

Which of the following is equal to 10⁻⁵?

(A) 1/10000
(B) 1/100000
(C) 100000
(D) 0.001

Correct Answer: B

Explanation:

10⁻⁵ = 1/100000.

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Question (36)

QN0018435

If 12² = 144, then 120² equals:

(A) 1440
(B) 14400
(C) 144000
(D) 144

Correct Answer: B

Explanation:

(12×10)² = 12²×10² = 14400.

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Question (37)

QN0018436

Which expression correctly represents a negative exponent?

(A) n⁻ᵃ = nᵃ
(B) n⁻ᵃ = 1/nᵃ
(C) n⁻ᵃ = a⁻ⁿ
(D) n⁻ᵃ = 0

Correct Answer: B

Explanation:

Negative exponent gives reciprocal.

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Question (38)

QN0018437

If q is a prime number, then q⁴⁶ is:

(A) Only a 4th power
(B) Only a 6th power
(C) Both a 4th power and a 6th power
(D) Neither a 4th nor a 6th power

Correct Answer: C

Explanation:

46 is divisible by both 2 and factors needed to express as 4th and 6th powers.

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Question (39)

QN0018438

Which of the following simplifies to 1?

(A) 2⁴ × (−4)⁻²
(B) 2⁴ × 4²
(C) 2⁻⁴ × 4²
(D) 4⁻² × 2⁻⁴

Correct Answer: A

Explanation:

16 × 1/16 = 1.

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Question (40)

QN0018439

Why is 0⁰ not used in the exponent rules discussed in the chapter?

(A) It equals 1
(B) It equals 0
(C) It is not defined
(D) It is always negative

Correct Answer: C

Explanation:

0⁰ is not defined.

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Question (31)

Simplify m⁵n¹²(mn)⁹.

Explanation:

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Question (32)

The product of two cube numbers is always:

Explanation:

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Question (33)

What is the value of 5⁻³?

Explanation:

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Question (34)

Simplify (2⁻⁴)(2⁷).

Explanation:

Link:

Question (35)

Which of the following is equal to 10⁻⁵?

Explanation:

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Question (36)

If 12² = 144, then 120² equals:

Explanation:

Link:

Question (37)

Which expression correctly represents a negative exponent?

Explanation:

Link:

Question (38)

If q is a prime number, then q⁴⁶ is:

Explanation:

Link:

Question (39)

Which of the following simplifies to 1?

Explanation:

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Question (40)

Why is 0⁰ not used in the exponent rules discussed in the chapter?

Explanation:

Link:

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