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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?-example-1
User Sethen
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1 Answer

6 votes

Answer:

5^1

Explanation:


√(5) =5^{(1)/(2) } (law of indices - fractional powers)

after converting all the numbers to this form:


\frac{5^{{(2)/(3) } } * 5^{(1)/(2) } }{5^{(1)/(6) } } \\

combine using law of indices:

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

User Pesehr
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