meowiwowoeoe meowiwowoeoe

01-03-2022
Mathematics

contestada

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

Respuesta :

zsm2800 zsm2800

01-03-2022

Answer:

x = 12, y = 9, z = 11

Step-by-step 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

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