Algebra 1b: Unit 1 Obj 4 Power To A Power

Approved & Edited by ProProfs Editorial Team
The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.
Learn about Our Editorial Process
| By Vicki Barr
V
Vicki Barr
Community Contributor
Quizzes Created: 14 | Total Attempts: 2,353
Questions: 10 | Attempts: 132

SettingsSettingsSettings
Algebra 1b: Unit 1 Obj 4  Power To A Power - Quiz

Bases with exponents raised to a power are multiplied


Questions and Answers
  • 1. 

    Which choice represents the simplified exponential expression? (x7)4

    • A.

      X^11

    • B.

      X

    • C.

      X^28

    • D.

      X^3

    Correct Answer
    C. X^28
    Explanation
    The given expression is (x^7)^4. To simplify this expression, we need to multiply the exponents. So, 7 multiplied by 4 is equal to 28. Therefore, the simplified exponential expression is x^28.

    Rate this question:

  • 2. 

    Which choice represents the simplified exponential expression? (z5)8

    • A.

      Z^-3

    • B.

      Z

    • C.

      Z^13

    • D.

      Z^40

    Correct Answer
    D. Z^40
    Explanation
    The correct answer is z^40 because when you raise a power to another power, you multiply the exponents. In this case, (z^5)^8 simplifies to z^(5*8) which equals z^40.

    Rate this question:

  • 3. 

    When you have  which variable does the 5 go to?

    • A.

      The x

    • B.

      The y

    • C.

      Both x and y

    • D.

      Neither x or y

    Correct Answer
    C. Both x and y
    Explanation
    The correct answer is "both x and y" because the question states "When you have" which implies that the situation being described applies to both variables, x and y. Therefore, the 5 goes to both x and y.

    Rate this question:

  • 4. 

    Simplify

    • A.

      -9x^6y^3

    • B.

      9x^5y^2

    • C.

      9x^6y^2

    • D.

      -9x^5y^2

    Correct Answer
    C. 9x^6y^2
    Explanation
    The given expression is -9x^6y^3. To simplify this expression, we can divide both the coefficients (-9) and the variables (x^6 and y^3) by their common factors. The common factor between -9 and 9 is 9, and the common factor between x^6 and x^5 is x^5. Similarly, the common factor between y^3 and y^2 is y^2. Dividing -9x^6y^3 by these common factors gives us 9x^6y^2, which is the simplified form of the expression.

    Rate this question:

  • 5. 

    (xy)4 * (xy)2 = x6 * y6

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
    Explanation
    When you have the same base, you ADD the exponents for simplifying.

    Rate this question:

  • 6. 

    Which choice represents the simplified exponential expression?(52)3

    • A.

      5^5

    • B.

      5^-6

    • C.

      5^6

    • D.

      25^3

    • E.

      15625

    • F.

      3125

    Correct Answer
    E. 15625
    Explanation
    The expression (52)3 can be simplified by multiplying the base, 5, by itself 3 times, resulting in 5^6. Therefore, the correct choice is 5^6.

    Rate this question:

  • 7. 

    Which choice represents the simplified exponential expression?

    • A.

      7^6

    • B.

      7^8

    • C.

      7^2

    • D.

      117649

    • E.

      5764801

    Correct Answer
    E. 5764801
    Explanation
    The correct answer is 5764801 because it represents the simplified exponential expression of 7 raised to the power of 6. The other choices are either different exponential expressions or the result of evaluating the expressions.

    Rate this question:

  • 8. 

    Which choice represents the simplified exponential expression?(s -6)9

    • A.

      S

    • B.

      S^3

    • C.

      S^ -15

    • D.

      S^ -54

    • E.

      1/s^54

    • F.

      1/s^3

    • G.

      S^-3

    Correct Answer
    E. 1/s^54
    Explanation
    The given expression is (s - 6)^9. To simplify this expression, we can expand it using the binomial theorem. The binomial theorem states that (a + b)^n = nC0 * a^n * b^0 + nC1 * a^(n-1) * b^1 + ... + nCn * a^0 * b^n. In this case, a = s and b = -6. Since we want to find the simplified exponential expression, we are looking for a term with a single variable raised to a power. The only option that fits this criteria is 1/s^54, which is the correct answer.

    Rate this question:

  • 9. 

    • A.

      (64g^12h^10)/(25f^6)

    • B.

      (64g^8h^7)/(25f^5)

    • C.

      (27g^12h^10)/(f^6)

    • D.

      (729g^8h^7)/(f^5)

    • E.

      (8g^12h^10)/(5f^6)

    Correct Answer
    A. (64g^12h^10)/(25f^6)
  • 10. 

    • A.

      1/81a^16b^28

    • B.

      B^28/(81a^16)

    • C.

      81b^28/(a^16)

    • D.

      B^11/-81a^0

    • E.

      -81b^28/b^16

    • F.

      81a^-16b^28

    • G.

      81/a^16b^28

    Correct Answer
    C. 81b^28/(a^16)

Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Mar 20, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Aug 18, 2014
    Quiz Created by
    Vicki Barr

Related Topics

Back to Top Back to top
Advertisement
×

Wait!
Here's an interesting quiz for you.

We have other quizzes matching your interest.