Question

Write the values in the boxes that make the statement true

Answer 1

• 
  `(5)/(3)xz^8*9x^6y^0z^2 = 15x^7z^(10)`

Explanation:

Given

• 
  `(5)/(3)xz^a*bx^cy^dz^2 = 15x^7z^(10)`

Simplify

• 
  `(5)/(3)b*x^(1+c)z^(a+2)y^d = 15x^7z^(10)y^0`

Compare left and right sides and

Find b:

• 
  `(5)/(3)` 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:

• 
  `(5)/(3)xz^8*9x^6y^0z^2 = 15x^7z^(10)`