What is (y^{3/2})/(y^{1/2)+2} ?

The solution to (y^{3/2})/(y^{1/2)+2} is (yy^{1/2})/(y^{1/2)+2}

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(y^{3/2})/(y^{1/2)+2}

\frac{y ^{\frac{3}{2}}}{y ^{\frac{1}{2}} + 2}

\frac{y y ^{\frac{1}{2}}}{y ^{\frac{1}{2}} + 2}

Solution steps

\frac{y ^{\frac{3}{2}}}{y ^{\frac{1}{2}} + 2}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

y^{\frac{3}{2}} = y^{1 + \frac{1}{2}} = y y^{\frac{1}{2}}

= \frac{y y ^{\frac{1}{2}}}{y ^{\frac{1}{2}} + 2}

x (x - 2) (x + 4) \leq 0

6 x^{2} + 18 x + 12

∣ 2 x - 4 ∣ + 13 < 5

7200

\frac{12}{15} - \frac{1}{9}

What is (y^{3/2})/(y^{1/2)+2} ?
The solution to (y^{3/2})/(y^{1/2)+2} is (yy^{1/2})/(y^{1/2)+2}