\(a,=10^3.10^5.10^2\\ =10^{3+5+2}\\ =10^{10}\\ b,=3^3.5^3.5^4\\ =3^3.5^{3+4}\\ =3^3.5^7\)
`(a):`
`10^{3}xx10^{5}xx100`
`=10^{3}xx10^{5}xx10^{2}`
`=10^{3+5+2}`
`=10^{10}`
`(b):`
`15^{3}xx625`
`=(5xx3)^{3}xx(5xx5)^{2}`
`=5^{3}xx3^{3}xx5^{2}xx5^{2}`
`=5^{3+2+2}xx3^{3}`
`=5^{7}xx3^{3}`