Order of operations with exponents

Order of operations with exponents

When you are solving questions with exponents, you must keep in mind that order of operation (BEDMAS/PEDMAS) still applies. In this lesson, we will get you familiar with how BEDMAS/PEDMAS works with exponents.

Lessons

  • 1.
    Calculate:
    a)
    5(2)45{\left( { - 2} \right)^4}

    b)
    6(37) - 6\left( {{3^7}} \right)

    c)
    8(4)38{\left( 4 \right)^3}

    d)
    9(42)9\left( { - {4^2}} \right)


  • 2.
    Calculate:
    a)
    3052+(6323)30 - {5^2} + \left( {{6^3} - {2^3}} \right)

    b)
    94(23)9 - 4\left( {{2^3}} \right)

    c)
    (54)2+(4)2{\left( { - 5 - 4} \right)^2} + {\left( { - 4} \right)^2}

    d)
    (4)6÷23{\left( { - 4} \right)^6} \div {2^3}


  • 3.
    A small yellow square is put on top of a large green square. The side length of the yellow square is 7 cm, whereas the side length of the green square is 11 cm.
    Order of operations with exponents
    a)
    Write the visible green area as powers.

    b)
    Calculate the visible green area.