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Question

Match the following power with their corresponding power.


Your Answer
A
729
Your Answer
B
3125
Your Answer
C
100
Your Answer
D
14

Solution

The correct option is
By using law of exponent:
am×an=am+n, here a is called base and m,n are called powers. If base is same then powers are added together.
 25×23=22
                      =(12)2
                         =12×12
                   =14 

By using law of exponents:
am× bm=(ab)m 
here a and b are base, and m is the exponent.
 22×52=(2×5)2
                  =102
                    =100 

By using law of exponent:
(am)n=amn Here a is called the base and m,n are called the exponent. For Power of power exponents are multiplied if the base is same.
 (32)3=36
                        =3×3×3×3×3×3
=(3××3×3)×(3××3×3)
27×27
=729

By using law of exponent:
ambm=(ab)m Here a and b is called the base and m is called the exponent. 
15535=(153)5
      =55 
                             =5×5×5×5×5
=(5×5×5)×(5×5)
=125×25
=3125

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