Question

Guys help. show work please

Answer 1

9514 1404 393

Answer:

2^17×3^7

Explanation:

The applicable rules of exponents are ...

(a^b)^c = a^(bc)

(a^b)(a^c) = a^(b+c)

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`(2^9*3^5)*(2^4*3)^2=2^9*3^5*2^(4\cdot2)*3^2\\\\=2^(9+8)*3^(5+2)=\boxed{2^(17)*3^7}`