Question

Write in index form.

(1) Base 6, index 4
(2) Two raised to four
(3) The square of seven
(4) 3 × 3 × 3 × 3 × 3
(5) 6 × 6 × 6
(6) The cube of 9

Answer 1

(1) If a is the base and b is the index, then the index form will be a^b. Thus, the base 6 and the index 4 can be written as 6⁴.

(2) If a is raised to the power b, then the index form will be a^b. Thus, 2 raised to the power 4 can be written as 2⁴.

(3) The square of a can be written in index form as a². Thus, the square of 7 can be written as 7².

(4) Because 3 is repeated five times, the base is 3 and the index is 5. Hence, the index form is 3⁵.

(5) Because 6 is repeated three times, the base is 6 and the index is 3. Hence, the index form is 6³.

(6) The cube of a can be written in index form as a³. Thus, the cube of 9 can be written as 9³.