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CBSE Class 7 Answered

i didnt understand that chapert
 
Asked by SRUTHI S KAMMATH | 08 Sep, 2014, 02:13: PM
answered-by-expert Expert Answer
C o n s i d e r space t h e space m u l t i p l i c a t i o n space 5 cross times 5 cross times 5 cross times 5 : W e space k n o w space t h a t space space 5 cross times 5 cross times 5 cross times 5 equals 625 H e r e space 5 space i s space b e i n g space m u l t i p l i e d space 4 space t i m e s. H e n c e space w e space a r e space w r i t i n g space t h e space e q u a t i o n space 5 cross times 5 cross times 5 cross times 5 equals 625 space i n space s h o r t h a n d a s space 5 to the power of 4 equals 625 I n space t h i s space e x a m p l e comma space 5 space i s space c a l l e d space t h e space b a s e space a n d space 4 space i s space t h e space e x p o n e n t. T h i s space p r o c e s s space o f space u sin g space e x p o n e n t s space i s space c a l l e d space " r a i sin g space t o space a space p o w e r " E x p o n e n t s space h a v e space t h e space f o l l o w i n g space r u l e s : L e t space a space a n d space b space a r e space r a t i o n a l space n u m b e r s : T h e n comma open parentheses i close parentheses space a to the power of x cross times a to the power of y equals a to the power of x plus y end exponent E x a m p l e : 2 cubed cross times 2 to the power of 4 equals 8 cross times 16 equals 128 A n d comma space 2 to the power of 3 plus 4 end exponent equals 2 to the power of 7 equals 128 T h u s comma space 2 cubed cross times 2 to the power of 4 equals 2 to the power of 7 open parentheses i i close parentheses space a to the power of x obelus divided by a to the power of y equals a to the power of x minus y end exponent E x a m p l e : 3 to the power of 6 obelus divided by 3 to the power of 4 equals 729 over 81 equals 9 3 to the power of 6 minus 4 end exponent equals 3 squared equals 9 T h u s comma space 3 to the power of 6 obelus divided by 3 to the power of 4 equals 3 to the power of 6 minus 4 end exponent open parentheses i i i close parentheses space open parentheses a to the power of x close parentheses to the power of y equals a to the power of x y end exponent E x a m p l e : open parentheses 4 squared close parentheses cubed equals open parentheses 16 close parentheses cubed equals 4096 4 to the power of 2 cross times 3 end exponent equals 4 to the power of 6 equals 4096 T h u s comma space open parentheses 4 squared close parentheses cubed equals 4 to the power of 2 cross times 3 end exponent open parentheses i v close parentheses space open parentheses a b close parentheses to the power of x equals a to the power of x cross times b to the power of x E x a m p l e : space open parentheses 2 cross times 5 close parentheses squared equals 10 squared equals 100 2 squared cross times 5 squared equals 4 cross times 25 equals 100 T h u s comma space open parentheses 2 cross times 5 close parentheses squared equals 2 squared cross times 5 squared S i m i l a r l y comma space t h e space o t h e r space r u l e s space a r e : open parentheses v close parentheses open parentheses a over b close parentheses to the power of x equals a to the power of x over b to the power of x open parentheses v i close parentheses open parentheses a over b close parentheses to the power of minus x end exponent equals b to the power of x over a to the power of x open parentheses v i i close parentheses a to the power of 0 equals 1
Answered by Prasenjit Paul | 09 Sep, 2014, 10:10: AM

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