Dear Student, Q am×an = am+nSuppose we have a3 and we want to multiply it by a2 That is a3×a2 = a×a×a × a×aAltogether there are five a's multiplied together Clearly, this is the same as a5 So, if we have am×anwe add the indices to get am×an= am+nHence Proved Hope this information will clear your doubts about topic If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible Regards

PROVE a^m*aⁿ=a^m+n

Dear Student,

Q . a^{m} \times a^{n} = a^{m + n} S u p p o s e w e h a v e a^{3} a n d w e w a n t t o m u l t i p l y i t b y a^{2} . T h a t i s a^{3} \times a^{2} = a \times a \times a \times a \times a A l t o g e t h e r t h e r e a r e f i v e a' s m u l t i p l i e d t o g e t h e r . C l e a r l y, t h i s i s t h e s a m e a s a^{5} . S o, i f w e h a v e a^{m} \times a^{n} w e a d d t h e i n d i c e s t o g e t a^{m} \times a^{n} = a^{m + n} H e n c e P r o v e d .

Hope this information will clear your doubts about topic.

If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.

Regards

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PROVE am*an=am+n

PROVE a^m*aⁿ=a^m+n