Question

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

Answer 1

Answer:

• a0 = 8
• a1 = 3

Step-by-step explanation:

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

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The applicable rules of exponents are ...

  (ab)^c = (a^c)(b^c)

  (a^b)/(a^c) = 1/(a^(c-b))