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Question

Write the base and index of the following numbers:

(1) (–1)20
(2) 75
(3) a5
(4) (–2)4
(5) 10100
(6) 3119
(7) -71310
(8) a6
(9) (xy)3
(10) ab2

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Solution

(1) (–1)20 = (–1) × (–1) × (–1) × … 20 times
Here (–1) is the base and 20 is the index.

(2) 75 = 7 × 7 ×7 × 7 ×7
Here 7 is the base and 5 is the index.

(3) a5 = a × a × a × a × a
Here a is the base and 5 is the index.

(4) (–2)4 = (–2) × (–2) ×(–2) ×(–2)
Here (–2) is the base and 4 is the index.

(5) 10100 = 10 × 10 ×10 × … 100 times
Here 10 is the base and 100 is the index.

(6) 3119=311×311×311×311×311×311×311×311×311
Here 311 is the base and 9 is the index.

(7) -71310=-713×-713×-713×-713×-713×-713×-713×-713×-713×-713
Here -713 is the base and 10 is the index.

(8) a6 = a × a × a × a × a × a
Here a is the base and 6 is the index.

(9) (xy)3 = (xy) × (xy) ×(xy)
Here (xy) is the base and 3 is the index.

(10) ab2=ab×ab
Here ab is the base and 2 is the index.

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