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iris [78.8K]
3 years ago
9

Pls help me with this

Mathematics
1 answer:
OlgaM077 [116]3 years ago
4 0

Answer:

  1/(x^(17/12)y^(5/3))

Step-by-step explanation:

We assume you want to simplify the expression. The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

  1/a^b = a^-b

Using these "all at once", we can add up the exponents of each of the variables:

  x^(-2/3 -2·0 -(1/2)(3/2))·y^(-2/3-(1/2)·2) = x^(-2/3-3/4)y^(-2/3-1)

  = x^(-17/12)y^(-5/3)

  = \dfrac{1}{x^{\frac{17}{12}}y^{\frac{5}{3}}}

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