What is expand w^{3/7}(w^{4/7}+5w^{18/7}) ?

The solution to expand w^{3/7}(w^{4/7}+5w^{18/7}) is w+5w^3

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expand w^{3/7}(w^{4/7}+5w^{18/7})

expand

w^{\frac{3}{7}} (w^{\frac{4}{7}} + 5 w^{\frac{18}{7}})

w + 5 w^{3}

Solution steps

w^{\frac{3}{7}} (w^{\frac{4}{7}} + 5 w^{\frac{18}{7}})

Apply the distributive law:

a (b + c) = ab + a c

w^{\frac{3}{7}} (w^{\frac{4}{7}} + 5 w^{\frac{18}{7}}) = w^{\frac{3}{7}} w^{\frac{4}{7}} + w^{\frac{3}{7}} \cdot 5 w^{\frac{18}{7}}

= w^{\frac{3}{7}} w^{\frac{4}{7}} + w^{\frac{3}{7}} \cdot 5 w^{\frac{18}{7}}

w^{\frac{3}{7}} w^{\frac{4}{7}} = w

w^{\frac{3}{7}} \cdot 5 w^{\frac{18}{7}} = 5 w^{3}

= w + 5 w^{3}

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What is expand w^{3/7}(w^{4/7}+5w^{18/7}) ?
The solution to expand w^{3/7}(w^{4/7}+5w^{18/7}) is w+5w^3