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27 votes
27 votes
Find X, Y, and Z if (3•5)^4 • (2•3)^5 • (2•5)^7 = 2^x • 3^y • 5^z! Need this ASAP!!!

User Weilou
by
2.9k points

1 Answer

13 votes
13 votes

Answer:

x = 12, y = 9, z = 11

Explanation:

(3 x 5)^4 x (2 x 3)^5 x (2 x 5)^7

= 3^4 x 5^4 x 2^5 x 3^5 x 2^7 x 5^7

= 2^(5 + 7) x 3^(4 + 5) x 5^(4 + 7)

= 2^12 x 3^9 x 5^11

so x = 12, y = 9, z = 11

User Bun Suwanparsert
by
3.0k points
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