Simplify:

(i)


(ii)


(iii)


We have,

Using identity: (am)n = amn , we get,


Using identity: (am)n = amn, we get,


=


Using identity: (am an = am - n)


= 210 - 9 × 73 – 1


= 21 × 72


= 2 × 7 × 7


= 98


(ii) We have,



Using identity: [(a × b)m = am ×bm]



Using identity: (am × an = am + n)


=


By using (am an = am - n), we get:


=


=


(iii) We have,



=


Using identity: [(a × b)m = am ×bm]


=


Using identity: (am × an = am + n)



By using (am an = am - n), we get:


= 35 – 5 × 25 – 5 × 57 – 7


= 30 × 20 × 50


= 1 × 1 × 1


= 1


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1