N6: use positive integer powers and associated real roots (square, cube and higher), recognise powers of 2, 3, 4, 5; estimate powers and roots of any given positive number

What are positive integer powers?

Positive integers which are powers (essentially indices), such as 2³

What is a real root?

Any square or cube roots etc which produce whole numbers as a result, such as 2, which is the square root of 4

Give the first 10 square numbers

1, 4, 9, 16, 25, 36, 49, 64, 81, 100

Give the first 5 cube numbers

1, 8, 27, 64, 125

Work out with a calculator 5.7², square root of 46, cube root of 15, 8.9³

32.49, 6.78, 2.47, 704.97