Question

# Match the following power with their corresponding power.

A
729
B
3125
C
100
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. ∴ 2−5×23=2−2                       =(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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