What is expand y^{1/4}(y^{3/4}+y^{7/4}) ?

The solution to expand y^{1/4}(y^{3/4}+y^{7/4}) is y+y^2

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expand y^{1/4}(y^{3/4}+y^{7/4})

expand

y^{\frac{1}{4}} (y^{\frac{3}{4}} + y^{\frac{7}{4}})

y + y^{2}

Solution steps

y^{\frac{1}{4}} (y^{\frac{3}{4}} + y^{\frac{7}{4}})

Apply the distributive law:

a (b + c) = ab + a c

y^{\frac{1}{4}} (y^{\frac{3}{4}} + y^{\frac{7}{4}}) = y^{\frac{1}{4}} y^{\frac{3}{4}} + y^{\frac{1}{4}} y^{\frac{7}{4}}

= y^{\frac{1}{4}} y^{\frac{3}{4}} + y^{\frac{1}{4}} y^{\frac{7}{4}}

y^{\frac{1}{4}} y^{\frac{3}{4}} = y

y^{\frac{1}{4}} y^{\frac{7}{4}} = y^{2}

= y + y^{2}

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What is expand y^{1/4}(y^{3/4}+y^{7/4}) ?
The solution to expand y^{1/4}(y^{3/4}+y^{7/4}) is y+y^2