boo1234567
boo1234567 boo1234567
  • 24-06-2021
  • Mathematics
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Which expression is equivalent to 3/x5y?

Which expression is equivalent to 3x5y class=

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sreedevi102
sreedevi102 sreedevi102
  • 24-06-2021

Answer:

option B

Step-by-step explanation:

[tex]\sqrt[3]{x^5 \ y} = (x^5 \ y )^\frac{1}{3} \ \ \ \ \ \ \ \ \ \ \ \ [ \ \sqrt[n]{x} = x^\frac{1}{n} \ \ , \ (xy)^a = x^a y^a]\\\\[/tex]

        [tex]= x^{ (5 \times \frac{1}{3} )} \ y ^{\frac{1}{3} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ ( x^a )^b = x^{ab} \ ]\\\\\\[/tex]

        [tex]= x^{\frac{5}{3} }\ y^{\frac{1}{3}}[/tex]

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