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

9xy * (2/3x)3 = ( [ ] a0 / [ ] a1 ) x4y

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$Complete the equation Answer as a fraction in its simplest form9xy 23x3 a0 a1 x4y class=$

Respuesta :

sqdancefan sqdancefan · Answer 1 · 2020-08-21T21:51:18+02:00

Answer:

Step-by-step explanation:

[tex]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[/tex]

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The applicable rules of exponents are ...

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

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

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