What is expand y^{1/2}(y^{3/2}-y^{3/5}) ?

The solution to expand y^{1/2}(y^{3/2}-y^{3/5}) is y^2-y^{11/10}

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expand y^{1/2}(y^{3/2}-y^{3/5})

expand

y^{\frac{1}{2}} (y^{\frac{3}{2}} - y^{\frac{3}{5}})

y^{2} - y^{\frac{11}{10}}

Solution steps

y^{\frac{1}{2}} (y^{\frac{3}{2}} - y^{\frac{3}{5}})

Apply the distributive law:

a (b - c) = ab - a c

y^{\frac{1}{2}} (y^{\frac{3}{2}} - y^{\frac{3}{5}}) = y^{\frac{1}{2}} y^{\frac{3}{2}} - y^{\frac{1}{2}} y^{\frac{3}{5}}

= y^{\frac{1}{2}} y^{\frac{3}{2}} - y^{\frac{1}{2}} y^{\frac{3}{5}}

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

y^{\frac{1}{2}} y^{\frac{3}{5}} = y^{\frac{11}{10}}

= y^{2} - y^{\frac{11}{10}}

B (1, - 3)

lo g_{10} (b) (7 x \cdot 2 y)

\frac{1}{( n + k ) ( n + k + 1 )}

sin (x) (cos (x) - 1)

What is expand y^{1/2}(y^{3/2}-y^{3/5}) ?
The solution to expand y^{1/2}(y^{3/2}-y^{3/5}) is y^2-y^{11/10}