cristorres8328 cristorres8328
  • 14-01-2021
  • Mathematics
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Change this radical to an algebraic expression with fractional exponents.



The exponent on y is:

Change this radical to an algebraic expression with fractional exponents The exponent on y is class=

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MrRoyal
MrRoyal MrRoyal
  • 19-01-2021

Answer:

The exponent of y is 1

Step-by-step explanation:

Given

[tex]\sqrt{y^2[/tex]

Required

Convert to fractional exponent

Here, we simply apply the following law of indices:

[tex]\sqrt{x^m} = x^{\frac{m}{2}}[/tex]

So, the expression becomes:

[tex]\sqrt{y^2} = y^{\frac{2}{2}}[/tex]

[tex]\sqrt{y^2} = y^1[/tex]

[tex]\sqrt{y^2} = y[/tex]

From the above expression, the exponent of y is 1

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