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8 votes
Simplify (2^9• 3^5) • (2^4•3)^2

User Rino
by
6.6k points

1 Answer

3 votes

Answer:


286654464

Explanation:

first, write the equation:


(2^(9)*3^(5) )*(2^(4) *3)^(2)

solve in the parentheses from left to right:


(2^(9) *3^(5) )

solve for
2^(9):


2*2*2*2*2*2*2*2*2=512

then solve for
3^(5):


3*3*3*3*3=243

So the equation will be as:


(512*243)*(2^(4) *3)^(2)

simplify:


124416*(2^(4) *3)^(2)

solve for
(2^(4) *3)^(2):


2*2*2*2=16\\(16*3)=48

complete equation:


124416*(48)^(2)

the answer will be:


124416*(48)^(2) =\\124416*48*48=\\286654464

User Enamul Hassan
by
7.3k points