Question

Write the values in the boxes that make the statement true

Answer 1

Answer:

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

Step-by-step explanation:

Given

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

Simplify

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

Compare left and right sides and

Find b:

• $\frac{5}{3}$ 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:

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