9514 1404 393
Answer:
[tex]225a^{10}[/tex]
Step-by-step explanation:
The rules of exponents apply:
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
(ab)^c = (a^c)(b^c)
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[tex]25a^4\cdot(3a^3)^2=25a^4\cdot3^2a^{2\cdot3}=25\cdot9a^4\cdot a^6\\\\=225a^{4+6}=\boxed{225a^{10}}[/tex]
