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Complete the equation. Answer as a fraction in its simplest form.

9xy * (2/3x)*3 = ( [ ] a0 / [ ] a1 ) x*4y

Complete the equation. Answer as a fraction in its simplest form. 9xy * (2/3x)*3 = ( [ ] a-example-1
User Aolszowka
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1 Answer

1 vote

Answer:

  • a0 = 8
  • a1 = 3

Explanation:


9xy\cdot((2)/(3)x)^3=3^2xy\cdot(2^3x^3)/(3^3)\\\\=(8)/(3^(3-2))x^4y=\boxed{(8)/(3)}x^4y

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The applicable rules of exponents are ...

(ab)^c = (a^c)(b^c)

(a^b)/(a^c) = 1/(a^(c-b))

User Keishla
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