Respuesta :

mhanifa

Answer:

  • [tex]\frac{5}{3}xz^8*9x^6y^0z^2 = 15x^7z^{10}[/tex]

Step-by-step explanation:

Given

  • [tex]\frac{5}{3}xz^a*bx^cy^dz^2 = 15x^7z^{10}[/tex]

Simplify

  • [tex]\frac{5}{3}b*x^{1+c}z^{a+2}y^d = 15x^7z^{10}y^0[/tex]

Compare left and right sides and

Find b:

  • [tex]\frac{5}{3}[/tex] b = 15 ⇒ b = 15*3/5 = 9

Find c:

  • 1 + c = 7 ⇒ c = 7 - 1 = 6

Find a:

  • a + 2 = 10 ⇒ a = 10 - 2 = 8

Find d:

  • d = 0

Solution is:

  • [tex]\frac{5}{3}xz^8*9x^6y^0z^2 = 15x^7z^{10}[/tex]

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