This quiz works best with JavaScript enabled. Home > Cbse > Class 8 > Mathematics > Exponents And Powers > Class 8 Maths Chapter 12 Exponents And Powers – Quiz 4 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 8 Maths Chapter 12 Exponents And Powers Quiz 4 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Simplify the expression:3$^{1/2}$ * 27$^{1/2}$ A) 1/3. B) 9. C) 3. D) 81. Show Answer Correct Answer: B) 9. 2. Like terms have the same ..... and the same ..... A) Variables and numbers. B) Signs and numbers. C) Variables and exponents. D) Variables and signs. Show Answer Correct Answer: C) Variables and exponents. 3. Simplify the expression:36$^{1/2}$ A) 36. B) 6. C) -6. D) 1296. Show Answer Correct Answer: B) 6. 4. $(m+n)^{-1}(m^{-1}+n^{-1})$ A) 0. B) $\frac{1}{mn}$. C) $mn^{-2}$. D) $mn$. Show Answer Correct Answer: B) $\frac{1}{mn}$. 5. 6 raise to 10 and 8 raise 10 A) 15 raise to 10. B) 18 raise to 10. C) 14 raise to 10. D) 17 raise to 10. Show Answer Correct Answer: C) 14 raise to 10. 6. What happens when you divide two powers with the same base, such as a$^{m}$ and a$^{n}$? A) You add the exponents:a$^{m+n}$. B) You raise the base to the sum of the exponents:a$^{m+n}$. C) You subtract the exponents:a$^{m-n}$. D) You multiply the bases:a$^{m}$ * a$^{n}$. Show Answer Correct Answer: C) You subtract the exponents:a$^{m-n}$. 7. Which of the following is used as a form of 5.05 x 10$^{6}$? A) 5050000. B) 505000000. C) 505000. D) 50500000. Show Answer Correct Answer: A) 5050000. 8. (x$^{3}$y)$^{6}$ A) 2x$^{18}$y$^{6}$. B) X$^{3}$y$^{6}$. C) X$^{3}$y$^{6}$. D) X$^{18}$y$^{6}$. Show Answer Correct Answer: D) X$^{18}$y$^{6}$. 9. Solve m$^{3}$ = (343/1000) A) -7/10. B) 7/10. C) +, -7/10. D) -.7. Show Answer Correct Answer: B) 7/10. 10. What is the significance of the exponent in an expression? A) It determines the value of the base when multiplied by zero. B) It shows the addition of the base to itself. C) It represents the square of the base. D) It indicates the number of times the base is used as a factor. Show Answer Correct Answer: D) It indicates the number of times the base is used as a factor. 11. What is the result of evaluating 7$^{3}$? A) 343. B) 512. C) 256. D) 729. Show Answer Correct Answer: A) 343. 12. What is (-4x)$^{0}$ equal to? A) -4. B) 4x. C) -1. D) 1. Show Answer Correct Answer: D) 1. 13. Which is equivalent to 7x7x7x7x7x7 A) 7$^{5}$. B) 7$^{7}$. C) 7$^{6}$. D) 6$^{7}$. Show Answer Correct Answer: C) 7$^{6}$. 14. $\left[4^2-3^2\right]\div7$ A) 1. B) 0. C) 7. D) 49. Show Answer Correct Answer: A) 1. 15. FIND THE VALUE OF x IF (-3)$^{3x + 1}$ * (-3)$^{4}$ = (-3)$^{8}$ A) 0. B) 5. C) 1. D) 3. Show Answer Correct Answer: C) 1. 16. $\left(2^0+4^{-1}\right)\times2^2$ A) 4. B) 3. C) 2. D) 5. Show Answer Correct Answer: D) 5. 17. How would you change this to a positive exponent:1/x$^{-3}$ A) X$^{3}$. B) 1/3x. C) 3x. D) 1/x$^{3}$. Show Answer Correct Answer: A) X$^{3}$. 18. According to exponent rules, when we raise a base to a power we ..... the exponents. A) Add. B) Multiply. C) Subtract. D) Divide. Show Answer Correct Answer: B) Multiply. 19. (2m$^{4}$)(5m$^{2}$) A) 10m$^{8}$. B) 10m$^{6}$. C) 7m$^{6}$. D) 7m$^{8}$. Show Answer Correct Answer: B) 10m$^{6}$. 20. (4 x 10$^{2 }$) + (5 x 10$^{1}$ ) + (1 x 10$^{0}$ ) A) 541. B) 45, 001. C) 4, 051. D) 451. Show Answer Correct Answer: D) 451. 21. The power of a power rule says that when an exponential expression is raised to a power (as shown above), you should ..... the inner and outer exponents A) Add. B) Divide. C) Multiply. D) Subtract. Show Answer Correct Answer: C) Multiply. 22. Simplify the expression (4x$^{2}$)$^{2}$ A) 2x$^{2}$. B) 16x$^{4}$. C) 4x$^{4}$. D) 8x$^{2}$. Show Answer Correct Answer: B) 16x$^{4}$. 23. What is 10$^{3 }$? A) 1000. B) 300. C) 30. D) 100. Show Answer Correct Answer: A) 1000. 24. FILL IN THE BLANKS:(a$^{m}$)$^{n}$. WHERE m AND n ARE NATURAL NUMBER. A) A $^{m+n}$. B) A $^{m-n}$. C) A$^{ mn}$. D) NONE OF THESE. Show Answer Correct Answer: C) A$^{ mn}$. 25. If $\sqrt{x}=12$ A) 124. B) 144. C) 121. D) 196. Show Answer Correct Answer: B) 144. 26. True or false:Addition ALWAYS comes before subtraction. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 27. 2x2x2x2=64which one is exponent A) 2. B) 64. C) 2x2. D) 64 and 2. Show Answer Correct Answer: B) 64. 28. What is the definition of an exponent? A) An exponent is a mathematical operation that adds two numbers together. B) An exponent indicates how many times a number (the base) is multiplied by itself. C) An exponent is a number that represents the square root of another number. D) An exponent is a symbol used to denote a fraction. Show Answer Correct Answer: B) An exponent indicates how many times a number (the base) is multiplied by itself. 29. Simplify and leave in exponent form 8$^{2}$/8$^{5}$ A) 8$^{-3}$. B) 8$^{2-5}$ = 8$^{-3}$ = 1/8$^{3}$. C) 8$^{7}$. D) 8$^{3}$. Show Answer Correct Answer: B) 8$^{2-5}$ = 8$^{-3}$ = 1/8$^{3}$. 30. 1)The value of 4$^{0}$ is A) 1. B) 4. C) 0. D) None of the above. Show Answer Correct Answer: A) 1. 31. What happens when you move to the left on the place value chart? A) You add 10. B) You multiply by 10. C) You divide by 10. D) You subtract 10. Show Answer Correct Answer: C) You divide by 10. 32. What is the result of 2$^{-3}$? A) 8. B) 1/4. C) 1/8. D) 2. Show Answer Correct Answer: C) 1/8. 33. Simplify:$x\left(x^{-1}\right)$ A) $x^2$. B) X. C) 1. D) $\frac{1}{x}$. Show Answer Correct Answer: C) 1. 34. What is the value of 4$^{2}$ x 4$^{3}$? A) 256. B) 2048. C) 512. D) 1024. Show Answer Correct Answer: D) 1024. 35. VERY SMALL NUMBER CAN BE EXPRESSED IN STANDARD FORM USING ..... A) NEGATIVE EXPONENTS. B) WHOLE NUMBER. C) POSITIVE EXPONENTS. D) NATURAL NUMBER. Show Answer Correct Answer: A) NEGATIVE EXPONENTS. 36. What is the value of $(-3)^2$ A) 6. B) 9. C) -9. D) -6. Show Answer Correct Answer: B) 9. 37. The value of 'm' in the expression 2$^{m-3}$ = 1 is A) 2. B) 1. C) 4. D) 3. Show Answer Correct Answer: D) 3. 38. Simplify $a\cdot a^3$ A) $a^3$. B) $a^2$. C) $a^4$. D) $a^6$. Show Answer Correct Answer: C) $a^4$. 39. $\frac{32x^6}{4x^3}$ A) $8x$. B) $2x^3$. C) $8x^2$. D) $\left(2x\right)^3$. Show Answer Correct Answer: D) $\left(2x\right)^3$. 40. What is the numerical expression as a power? $\left(10\right)\left(10\right)$ A) $2^{10}$. B) $100$. C) $20$. D) $10^2$. Show Answer Correct Answer: D) $10^2$. 41. When you raise a power to a power you ..... the exponents. A) Multiply. B) Divide. C) Subtract. D) Add. Show Answer Correct Answer: A) Multiply. 42. What is 3$^{5}$ times 3$^{5}$? A) 9$^{25}$. B) 3$^{25}$. C) 9$^{10}$. D) 3$^{10}$. Show Answer Correct Answer: D) 3$^{10}$. 43. $Simplify$ $\left(\frac{1}{5}\right)^{-1}+\left(\frac{1}{3}\right)^{-1}-2^3$ A) 2. B) 8. C) 1. D) 0. Show Answer Correct Answer: D) 0. 44. $\left(5^5+5^2\right)=5^7$ A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 45. How can you write 100, 000 as a power of 10 using exponents? A) $10^4$. B) $10^6$. C) $10^5$. D) $10^3$. Show Answer Correct Answer: C) $10^5$. 46. What is the exponent and base of the expression below? $\left(-2\right)^4$ A) Base = 4 and exp =-2. B) Base = 4 and exp = 2. C) Base =-2 and exp = 4. D) Base = 2 and exp = 4. Show Answer Correct Answer: C) Base =-2 and exp = 4. 47. What is the value of the expression below? $-4^5$ A) -20. B) -1024. C) -625. D) None of the above. Show Answer Correct Answer: B) -1024. 48. Which of the following is equal to $7 \times 10^3$ A) 700. B) 70. C) 70, 000. D) 7, 000. Show Answer Correct Answer: D) 7, 000. 49. Write the exponent in word form.10$^{5}$ A) Fifty. B) The tenth power of five. C) Alot. D) The fifth power of ten. Show Answer Correct Answer: D) The fifth power of ten. 50. The diameter of a roller is 2.5 m and its length is 1.4 m. How much area will it cover in 7 revolutions? A) 154 sq m. B) 154 sq m. C) 77 sq m. D) 184 sq m. Show Answer Correct Answer: C) 77 sq m. 51. Rewrite $\frac{4^5\cdot x^7}{4^2\cdot x^4}$ A) $4^3\cdot x^7$. B) $4^3\cdot x^3$. C) $4^7\cdot x^3$. D) $4^3\cdot x^4$. Show Answer Correct Answer: B) $4^3\cdot x^3$. 52. What is 4$^{5}$ in expanded form? A) 4 x 4 x 4 x 4. B) 4 x 4 x 4 x 4 x 4. C) 5 x 5 x 5 x 5 x 5. D) 5 x 5 x 5 x 5. Show Answer Correct Answer: B) 4 x 4 x 4 x 4 x 4. 53. 10x10x10 is equal to which? A) 10$^{3}$. B) 10$^{10}$. C) 10$^{4}$. D) 10$^{5}$. Show Answer Correct Answer: D) 10$^{5}$. 54. Find the value.5 x 10$^{6}$ A) 5, 000, 000. B) 500. C) 500, 000. D) 56. Show Answer Correct Answer: A) 5, 000, 000. 55. When you multiply like bases, you ..... the exponents. A) Add. B) Multiply. C) Subtract. D) Divide. Show Answer Correct Answer: A) Add. 56. THE VALUE OF 56$^{0 }$is ..... A) 0. B) 1. C) 56. D) 6. Show Answer Correct Answer: B) 1. 57. Identify the value of the exponent in 8$^{3}$=512$^{}$. A) 512. B) 8. C) -3. D) 3. Show Answer Correct Answer: D) 3. 58. Find and explain the error. 5-3 + 2 5-5 0 A) There is no error. B) Addition was done first and you should have subtracted first. C) There is a subtraction error. D) None of the above. Show Answer Correct Answer: B) Addition was done first and you should have subtracted first. 59. Which of the following is the value of (4 / 5)$^{-9}$ / (4 / 5)$^{-9}$? A) 1. B) (4 / 5)$^{18}$. C) (4 / 5)$^{-18}$. D) (4 / 5). Show Answer Correct Answer: A) 1. 60. Simplify $2^2\cdot2^3$ A) $2^5$. B) 2+2+2+2+2. C) $2^6$. D) $4\cdot6$. Show Answer Correct Answer: A) $2^5$. ← PreviousNext →Related QuizzesMathematics QuizzesClass 8 QuizzesClass 8 Maths Chapter 12 Exponents And Powers Quiz 1Class 8 Maths Chapter 12 Exponents And Powers Quiz 2Class 8 Maths Chapter 12 Exponents And Powers Quiz 3Class 8 Maths Chapter 12 Exponents And Powers Quiz 5Class 8 Maths Chapter 12 Exponents And Powers Quiz 6Class 8 Maths Chapter 12 Exponents And Powers Quiz 7 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books