Question

What expression is equivalent to 7sqrtx^2/5sqrty^3​

Answer 1

Answer:

Step-by-step explanation:

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 7√(x²)          7√(x²)

------------- = ----------------------

  5 √(y³)        5√( y^(3/2) )

We want to get the fractional exponent out of the denominator.  To do this, multiply both numerator and denominator by y^(1/2):

 7√(x²)          7√(x²)                y^(1/2)      7√(x²)·y^(1/2)       7x√y

------------- = --------------------- * ----------- = --------------------- = ----------

  5 √(y³)        5√( y^(3/2) )       y^(1/2)        5 √(y²)                  5y

This is the final answer.  We have succeeded in removing radicals / fractional exponents from the denominator.