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egoroff_w [7]
3 years ago
11

Rewrite the expression in the form z^n

Mathematics
1 answer:
olga55 [171]3 years ago
3 0

Answer:

{z}^{ \frac{1}{2} }

Step-by-step explanation:

\huge \sqrt[5]{ {z}^{4} {z}^{ -  \frac{3}{2} }  }  \\  \\  =  \huge \sqrt[5]{ {z}^{4 -  \frac{3}{2}  }  } \\  \\  =  \huge \sqrt[5]{ {z}^{ \frac{8 - 3}{2}  }  } \\  \\  =  \huge \sqrt[5]{ {z}^{ \frac{5}{2}  }  }  \\  \\  = \huge   {z}^{ \frac{5}{2}  \times  \frac{1}{5} }  \\  \\ = \huge   {z}^{ \frac{1}{2} }

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