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Question (11)

QN0018410

Which of the following is equal to 2⁻⁴?

(A) 16
(B) 1/16
(C) 1/8
(D) 4

Correct Answer: B

Explanation:

2⁻⁴ = 1/2⁴ = 1/16.

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Question (12)

QN0018411

Simplify 10⁻² × 10⁻⁵.

(A) 10⁻⁷
(B) 10⁻³
(C) 10⁷
(D) 10⁻¹⁰

Correct Answer: A

Explanation:

Add exponents: −2 + (−5) = −7.

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Question (13)

QN0018412

What is the value of 3⁴?

(A) 27
(B) 64
(C) 81
(D) 243

Correct Answer: C

Explanation:

3⁴ = 81.

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Question (14)

QN0018413

Which expression is equal to 5⁸?

(A) (5²)⁴
(B) (5⁴)⁴
(C) (5⁸)²
(D) (5²)²

Correct Answer: A

Explanation:

(5²)⁴ = 5⁸.

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Question (15)

QN0018414

Simplify 9⁻⁷ ÷ 9⁴.

(A) 9⁻³
(B) 9⁻¹¹
(C) 9¹¹
(D) 9³

Correct Answer: B

Explanation:

−7 − 4 = −11.

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Question (16)

QN0018415

What is the value of (−3)²?

(A) −9
(B) 9
(C) 6
(D) −6

Correct Answer: B

Explanation:

Even power gives a positive result.

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Question (17)

QN0018416

What is the value of (−2)⁵?

(A) 32
(B) −32
(C) 16
(D) −16

Correct Answer: B

Explanation:

Odd power of a negative number is negative.

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Question (18)

QN0018417

Simplify (13⁻²)⁻³.

(A) 13⁻⁵
(B) 13⁶
(C) 13⁻⁶
(D) 13⁵

Correct Answer: B

Explanation:

Multiply exponents: (−2)(−3) = 6.

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Question (19)

QN0018418

Which of the following is equal to 2⁴ × 3⁴?

(A) 5⁴
(B) 6⁴
(C) 12⁴
(D) 24⁴

Correct Answer: B

Explanation:

Same exponent: (2×3)⁴ = 6⁴.

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Question (20)

QN0018419

Simplify 5⁷ ÷ 5⁴.

(A) 5³
(B) 5¹¹
(C) 5⁴
(D) 5²

Correct Answer: A

Explanation:

7 − 4 = 3.

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