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  • 24-06-2020
  • Mathematics
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Rewrite the expression with rational exponents as a radical expression by extending the properties of the integer exponents

Rewrite the expression with rational exponents as a radical expression by extending the properties of the integer exponents class=

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SwissChalamet SwissChalamet
  • 24-06-2020

Answer:

C

Step-by-step explanation:

[tex]\frac{y^{3/4} }{y^{1/2} }[/tex]   Original expression

[tex]y^{\frac{3}{4}-\frac{1}{2} }[/tex]   Division Property of Exponents

[tex]y^{\frac{3}{4}-\frac{2}{4} }[/tex]   Find a common denominator (4)

[tex]y^{\frac{1}{4} }[/tex]   Simplify

[tex]\sqrt[4]{y}[/tex]   Rewrite as a radical expression (an exponent of 1/4 is equivalent to the 4th root of the expression)

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