What is expand 6a^{7/4}*(a^{7/4}+a^{3/4}) ?

The solution to expand 6a^{7/4}*(a^{7/4}+a^{3/4}) is 6a^{7/2}+6a^{5/2}

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expand 6a^{7/4}*(a^{7/4}+a^{3/4})

expand

6 a^{\frac{7}{4}} \cdot (a^{\frac{7}{4}} + a^{\frac{3}{4}})

6 a^{\frac{7}{2}} + 6 a^{\frac{5}{2}}

Solution steps

6 a^{\frac{7}{4}} (a^{\frac{7}{4}} + a^{\frac{3}{4}})

Apply the distributive law:

a (b + c) = ab + a c

6 a^{\frac{7}{4}} (a^{\frac{7}{4}} + a^{\frac{3}{4}}) = 6 a^{\frac{7}{4}} a^{\frac{7}{4}} + 6 a^{\frac{7}{4}} a^{\frac{3}{4}}

= 6 a^{\frac{7}{4}} a^{\frac{7}{4}} + 6 a^{\frac{7}{4}} a^{\frac{3}{4}}

6 a^{\frac{7}{4}} a^{\frac{7}{4}} = 6 a^{\frac{7}{2}}

6 a^{\frac{7}{4}} a^{\frac{3}{4}} = 6 a^{\frac{5}{2}}

= 6 a^{\frac{7}{2}} + 6 a^{\frac{5}{2}}

(3 + 5)^{2}

(2 x - 5 i)^{2}

- \frac{- s ^{2} + 1}{( s ^{2} + 1 ) ^{2}}

(- 4 x^{3} + 3 y) \frac{d x}{d y}

x y d x - (x^{2} + 3 y^{2}) d y

What is expand 6a^{7/4}*(a^{7/4}+a^{3/4}) ?
The solution to expand 6a^{7/4}*(a^{7/4}+a^{3/4}) is 6a^{7/2}+6a^{5/2}