Page 3 - 7-Math-4 EXPONENTS

41. .EQxpuoandenrtsatic Equations eeLLeeaar nrn. P.Puunnj ajabb
Version 1.1
Similarly,
• 11×11 can be written as 112. We read it as 11 to the power of 2

where 11 is the base and 2 is the exponent.
From the above examples we can conclude that if a number “a” is
multiplied with itself n –1 times, then the product will be an, i.e.
an = a x a x a x ...................x a (n-1 times multiplications of “a” with
itself)
We read it as “a to the power of n”or “nth power of a”where “a” is the
base and “n” is the exponent.
Example 1: Express each of the following in exponential form.
(i) (-3)x(-3)x(-3) (ii) 2x2x2x2x2x2x2

(iii)  1  ×  1  ×  1  ×  1  (iv)  -7  ×  -7 
 4   4   4   4   12   12 

Solution: (ii) 2x2x2x2x2x2x2=(2)7
(i) (-3)x(-3)x(-3)=(-3)3

(iii)  1  ×  1  ×  1  ×  1  = 14 4 (iv)  -7  ×  -7  = 1-27 2
 4   4   4   4   12   12 

Example 2: Identify the base and exponent of each number.

(i) 1325 (ii)  -7 9 (iii) am (iv) (- 426)11 (v)  a n (vi)  - x t
 11   b   y 

Solution: 13 ( i i )  - 1 7 1  9 (iii) am
(i) 1325 base = a
base =

-7
exponent = 25 base = 11 exponent = m

exponent = 9

(iv) (-426)11 (v)  a n (vi)  -x t
 b   y 
base = - 426 a -x

exponent = 11 base = b base = y

exponent = n exponent = t

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