Exponents and Powers

30. What is the value of (9¹ + 1¹) × (5¹ – 4¹)?

• (A) 10
• (B) 9
• (C) 5
• (D) 4

29. Which among the following is true?

• (A) (5²) × 3 = (5²)³
• (B) (5²) × 3 > (5²)³
• (C) (5²) × 3 < (5²)³
• (D) None of these

28. Which of the following is the correct representation of (–4m)³?

• (A) (–4)³ × (m)³
• (B) 4³ × m³
• (C) (–4)³ × m
• (D) 4³ × m

27. What is the simplified value of (x⁷y³/x⁵y)?

• (A) x²y
• (B) (xy)²
• (C) (xy)³
• (D) xy

26. Which of the following is true (10 + 10)¹⁰?

• (A) 10¹⁰ + 10¹⁰
• (B) 10¹⁰ + 10⁰
• (C) 10¹⁰ + 10¹
• (D) None of these

25. Which of the following is true?

• (A) x⁰ × x⁰ = x⁰ ÷ x⁰
• (B) x⁰ × x⁰ = x⁰ + x⁰
• (C) x⁰ × x⁰ = x⁰ – x⁰
• (D) x⁰ × x⁰ = x⁰ + x⁰

24. Which of the following is true?

• (A) 3⁴ = 4³
• (B) 3⁴ > 4³
• (C) 3⁴ < 4³
• (D) 3⁴ = 4³ × 3

23. Which of the following is true?

• (A) (–3)⁴ = 12
• (B) (–3)⁴ > 12
• (C) (–3)⁴ < 12
• (D) (–3)⁴ = –12

22. The value of the expression 4 × 10⁵ + 3 × 10⁴ + 2 × 10³ + 1 × 10⁰ is

• (A) 432001
• (B) 432010
• (C) 43201
• (D) 430201

21. Which among the following is the correct value of 8020509?

• (A) 8 × 10⁶ + 2 × 10⁴ + 5 × 10² + 9 × 10⁰  
• (B) 8 × 10⁶ + 2 × 10⁴ + 5 × 10² + 9 × 10⁰  
• (C) 8 × 10⁵ + 2 × 10⁴ + 5 × 10² + 9 × 10⁰  
• (D) 8 × 10⁷ + 2 × 10⁴ + 5 × 10³ + 9 × 10⁰  

20. Which among the following is the correct value of 600060?

• (A) 6 × 10⁵ + 6 × 10⁵ + 6 × 10² + 6 × 10² + 1 × 10⁰
• (B) 6 × 10⁵ + 6 × 10²
• (C) 6 × 10⁵ + 6 × 10⁵ + 6 × 10² + 6 × 10 + 0 × 10⁰
• (D) 6 × 10⁵ + 6 × 10

19. Which among the following is the exponential notation for 648?

• (A) 2³ × 3³
• (B) 2³ × 3⁴
• (C) 2⁴ × 3⁴
• (D) 2⁴ × 3⁵

18. The simplified value of [(−2)³ × (−2)⁴] ÷ (−2)⁷ is

• (A) 1
• (B) −1
• (C) −2
• (D) 2

17. If a⁶ × a⁵ × a⁰ = a^p, the value of p is

• (A) 12
• (B) 11
• (C) 0
• (D) 30

16. If 5^x × 5³ = 5⁶, the value of x is

• (A) –1
• (B) 0
• (C) 3
• (D) 1