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Question (31)

QN0018470

Simplify x⁻⁷ ÷ x⁻².

(A) x⁻⁵
(B) x⁵
(C) x⁻⁹
(D) x⁹

Correct Answer: A

Explanation:

−7 − (−2) = −5.

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Question (32)

QN0018471

Which statement is true for every non-zero number n?

(A) n⁻¹ = n
(B) n⁻¹ = 0
(C) n⁻¹ = 1/n
(D) n⁻¹ = n²

Correct Answer: C

Explanation:

Definition of exponent −1.

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Question (33)

QN0018472

What is the value of (1/2)⁴?

(A) 1/8
(B) 1/16
(C) 1/32
(D) 1/64

Correct Answer: B

Explanation:

(1/2)⁴ = 1/16.

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Question (34)

QN0018473

Simplify 12⁻² × 12⁵.

(A) 12³
(B) 12⁻³
(C) 12⁷
(D) 12⁻⁷

Correct Answer: A

Explanation:

−2 + 5 = 3.

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Question (35)

QN0018474

Which of the following is equal to 1/1000?

(A) 10⁻²
(B) 10⁻³
(C) 10³
(D) 100⁻³

Correct Answer: B

Explanation:

10⁻³ = 1/1000.

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Question (36)

QN0018475

What is the value of 1⁻⁵?

(A) −1
(B) 1
(C) 5
(D) Undefined

Correct Answer: B

Explanation:

Any power of 1 equals 1.

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Question (37)

QN0018476

Simplify r⁻⁹ × r⁴.

(A) r⁻¹³
(B) r⁻⁵
(C) r⁵
(D) r¹³

Correct Answer: B

Explanation:

−9 + 4 = −5.

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Question (38)

QN0018477

A quantity is multiplied by 10 every step. Which expression represents moving 4 steps backward in this pattern?

(A) 10⁴
(B) 10⁻⁴
(C) 4⁻¹⁰
(D) 10⁰

Correct Answer: B

Explanation:

Moving backward corresponds to a negative exponent.

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Question (39)

QN0018478

Why is 0⁻² not defined?

(A) Negative exponents are not allowed
(B) It requires division by zero
(C) Zero has no powers
(D) The exponent is even

Correct Answer: B

Explanation:

0⁻² = 1/0², which is undefined.

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Question (40)

QN0018479

Which expression represents one-millionth?

(A) 10⁻⁵
(B) 10⁻⁶
(C) 10⁶
(D) 10⁻⁷

Correct Answer: B

Explanation:

One-millionth = 1/1000000 = 10⁻⁶.

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Question (31)

Simplify x⁻⁷ ÷ x⁻².

Explanation:

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Question (32)

Which statement is true for every non-zero number n?

Explanation:

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Question (33)

What is the value of (1/2)⁴?

Explanation:

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Question (34)

Simplify 12⁻² × 12⁵.

Explanation:

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Question (35)

Which of the following is equal to 1/1000?

Explanation:

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Question (36)

What is the value of 1⁻⁵?

Explanation:

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Question (37)

Simplify r⁻⁹ × r⁴.

Explanation:

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Question (38)

A quantity is multiplied by 10 every step. Which expression represents moving 4 steps backward in this pattern?

Explanation:

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Question (39)

Why is 0⁻² not defined?

Explanation:

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Question (40)

Which expression represents one-millionth?

Explanation:

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