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Further Exercises on Square Roots

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  1. 1

    Compute:

    1. 535^3

    2. −53-5^3

    3. (−5)3(-5)^3

    4. 5−35^{-3}

    5. −5−3-5^{-3}

    6. (−5)−3\left(-5\right)^{-3}

    7. (12)2\left(\frac{1}{2}\right)^2

  2. 2

    Handling with powers

    1. Click on the right solution!

    2. What is the base of the term (x+2)4\left(x+2\right)^4?

    3. Which equation is correct?

  3. 3

    Is the result positive or negative? Give a reasoning for your answer.

    (−18)37⋅217⋅(−100)18⋅(−3)5\left(-18\right)^{37}\cdot2^{17}\cdot\left(-100\right)^{18}\cdot\left(-3\right)^5

  4. 4

    Calculate the value of the following terms.

    1. 232^3

    2. (−2)4(-2)^4

    3. (12)4\left(\dfrac{1}{2}\right)^4

    4. 110011^{1001}

    5. (−1)1001(-1)^{1001}

  5. 5

    Determine whether the term is greater than or less than 1.

  6. 6

    Rewrite the following term as a single fraction. Is the absolute value greater or less than 1?

  7. 7

    Is the following statement correct?

     

    34=813^4=81

  8. 8

    Decrease the exponent by 1:

     

    353^5

    Note that the exponent is in the top right index, with the value 5.


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