Evaluate Expressions With Exponents - 6th Grade Math

1. Write $6 \times 6 \times 6 \times 6$ using an exponent.

   $6^4$. Count the factors: 6 appears 4 times.

2. What is the value of $3 \times 2^4$?

   $48$. $2^4 = 16$, then $3 \times 16 = 48$

3. What is the value of $2^4 + 2^3$?

   $24$. $2^4 = 16$ and $2^3 = 8$, so $16 + 8 = 24$

4. What is the value of $8^2$?

   $64$. $8 \times 8 = 64$

5. What is the value of $2^4 + 3^3$?

   $43$. $16 + 27 = 43$ (calculate each power, then add).

6. What is the value of $5^2 - 3^2$?

   $16$. $5^2 = 25$ and $3^2 = 9$, so $25 - 9 = 16$

7. What is the value of $1^8$?

   $1$. One raised to any power equals 1.

8. What is the value of $8^0$?

   $1$. Any nonzero number to the zero power equals one.

9. What is the value of $3^4$?

   $81$. $3 \times 3 \times 3 \times 3 = 81$

10. What is $3^4$?

    $81$. $3 \times 3 \times 3 \times 3 = 81$

11. What is the value of $9^0$?

    $1$. Any nonzero number to the zero power equals 1.

12. What is the value of $5^1$?

    $5$. Any number to the first power equals itself.

13. What is $4^2$?

    $16$. $4 \times 4 = 16$

14. What is the value of $a^1$ for any whole number $a$?

    $a^1 = a$. Any number to the first power equals itself.

15. Evaluate the expression $2^3 \times 5$.

    $40$. $8 \times 5 = 40$

16. Write $2 \times 2 \times 2 \times 7 \times 7$ using exponents.

    $2^3 \times 7^2$. Group same factors: 2 appears 3 times, 7 appears 2 times.

17. What does the exponent mean in $a^n$ when $n$ is a whole number?

    $a^n$ means $a$ multiplied by itself $n$ times. The exponent tells you how many times to multiply the base by itself.

18. What is the base in the expression $7^4$?

    Base: $7$. The base is the number being raised to a power.

19. What is $5^3$?

    $125$. $5 \times 5 \times 5 = 125$

20. What is the value of $0^5$?

    $0$. Zero multiplied by itself any positive number of times equals zero.

21. What is the value of $6^2$?

    $36$. $6 \times 6 = 36$

22. What is the value of $4^2 \times 3$?

    $48$. $16 \times 3 = 48$ (calculate the power first, then multiply).

23. What is the value of $2^3 + 4$?

    $12$. $2^3 = 8$, then $8 + 4 = 12$

24. What is the value of $5^2 - 2^3$?

    $17$. $25 - 8 = 17$ (calculate each power, then subtract).

25. What is the value of $4^3$?

    $64$. $4 \times 4 \times 4 = 64$

26. What is the value of $-3^2$?

    $-9$. Without parentheses, only 3 is squared, then made negative.

27. What is the value of $9^2$?

    $81$. $9 \times 9 = 81$

28. What is the value of $a^0$ for any nonzero whole number $a$?

    $a^0 = 1$. Any nonzero number to the zero power equals one by definition.

29. Evaluate the expression $3^2 + 4^2$.

    $25$. $9 + 16 = 25$

30. What is the value of $3^4$?

    $81$. $3 \times 3 \times 3 \times 3 = 81$

31. Identify the base and exponent in $7^4$.

    Base $= 7$, exponent $= 4$. The base is the number being multiplied; the exponent shows how many times.

32. What is the value of $1^9$?

    $1$. One multiplied by itself any number of times equals one.

33. What is $6^2$?

    $36$. $6 \times 6 = 36$

34. What is the value of $10^3$?

    $1000$. $10 \times 10 \times 10 = 1000$

35. What is the value of $18 \times 2^2$?

    $72$. $18 \times 4 = 72$ (calculate $2^2 = 4$, then multiply).

36. Evaluate the expression $18 - 2^4$.

    $2$. $18 - 16 = 2$

37. What is $2^5$?

    $32$. $2 \times 2 \times 2 \times 2 \times 2 = 32$

38. What is the value of $2^6$?

    $64$. $2 \times 2 \times 2 \times 2 \times 2 \times 2 = 64$

39. What does $a^n$ mean when $n$ is a whole number?

    $a^n$ means $a$ multiplied by itself $n$ times. The exponent tells you how many times to multiply the base by itself.

40. What is the value of $4^3$?

    $64$. $4 \times 4 \times 4 = 64$

41. What is the exponent in the expression $7^4$?

    Exponent: $4$. The exponent is the small number showing how many times to multiply.

42. What is the expanded form of $5^3$ written as repeated multiplication?

    $5^3 = 5 \times 5 \times 5$. The exponent 3 means multiply 5 by itself three times.

43. What is $10^3$?

    $1000$. $10 \times 10 \times 10 = 1000$

44. What is the value of $2 \times 3^3$?

    $54$. $2 \times 27 = 54$ (calculate $3^3 = 27$, then multiply).

45. What are the base and exponent in $7^4$?

    Base $= 7$, exponent $= 4$. The bottom number is the base, the top number is the exponent.

46. Evaluate the expression $(2 + 3)^2$.

    $25$. First add inside parentheses: $5^2 = 25$

47. What is the value of $2^5$?

    $32$. $2 \times 2 \times 2 \times 2 \times 2 = 32$

48. What is the value of $10^3$?

    $1000$. $10 \times 10 \times 10 = 1000$

49. What is the value of $6^2$?

    $36$. $6 \times 6 = 36$

50. Identify the correct evaluation of $2^3 \times 3$: which value is correct?

    $24$. $2^3 = 8$, then $8 \times 3 = 24$

51. What is $9^2$?

    $81$. $9 \times 9 = 81$

52. What is the value of $3^2 + 4^2$?

    $25$. $9 + 16 = 25$ (calculate each power, then add).

53. What is the value of $(-3)^2$?

    $9$. $(-3) \times (-3) = 9$ (negative times negative is positive).

54. What is the value of $(-2)^3$?

    $-8$. $(-2) \times (-2) \times (-2) = -8$ (odd exponent keeps negative).

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