Squares, roots and powers

2.4.1 Try some yourself

Activity 25

Write the following as a number to a single power:

  • (a) 26 ÷ 22

  • (b) 1010 ÷ 107

  • (c) 78 ÷ 74

Answer

  • (a) 26 ÷ 22 = 2(6 − 2) = 24

  • (b) 1010 ÷ 107 = 10(10 − 7) = 103

  • (c) 78 ÷ 74 = 7(8 − 4) = 74

Activity 26

Express as powers of ten

  • (a) a million

  • (b) a thousand

  • (c) a million divided by a thousand

Answer

  • (a) a million = 1 000 000 = 106

  • (b) a thousand = 1 000 = 103

  • (c) 106 divided by 103 = 106–3 = 103 = a thousand