yanhuiluzhang yanhuiluzhang
  • 22-04-2020
  • Mathematics
contestada

a and b are positive integers and a−b = 2. Evaluate the following:

4^(1/2a) / 2^b

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surjithayer10 surjithayer10
  • 22-04-2020

Answer:

4

Step-by-step explanation:

4^(1/2a)/2^b

[tex]\frac{4^{\frac{1}{2} a} }{2^b}\\=\frac{(2^{2})^{\frac{1}{2}a} }{2^b}\\=\frac{2^{2 \times \frac{1}{2}a } }{2^b} \\=\frac{2^a}{2^b} \\=2^{a-b} \\=2^2\\=4[/tex]

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