Question

Please help me with a b and c

Answer 1

`(6^(21)\cdot10^7)/(30^7) = ((2*3)^(21)\cdot(2*5)^7)/((2*3*5)^7) = (2^(21)*3^(21)*2^7*5^7)/(2^7*3^7*5^7) = 2^(21+7-7)*3^(21-7)*5^(7-7)\\=2^(21)\cdot3^(14)`


`(6^(3m)\cdot10^m)/(30^m) = ((2*3)^(3m)\cdot(2*5)^m)/((2*3*5)^m) = (2^(3m)*3^(3m)*2^m*5^m)/(2^m*3^m*5^m) \\= 2^(3m+m-m)*3^(3m-m)*5^(m-m)\\=2^(3m)\cdot3^(2m)`