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  • 24-07-2021
  • Mathematics
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How can I express this as a single power with positive exponents?

How can I express this as a single power with positive exponents class=

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Аноним Аноним
  • 24-07-2021

Answer:

5^1

Step-by-step explanation:

[tex]\sqrt{5} =5^{\frac{1}{2} }[/tex] (law of indices - fractional powers)

after converting all the numbers to this form:

[tex]\frac{5^{{\frac{2}{3} } } * 5^{\frac{1}{2} } }{5^{\frac{1}{6} } } \\[/tex]

combine using law of indices:

5^(2/3+1/2-1/6) = 5^1

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