Question 610027
{{{root(7, x)(root(7, x^(55))-root(7, x^(41)))}}}
Using the Distributive Property we get:
{{{root(7, x)*root(7, x^(55))-root(7, x)*root(7, x^(41))}}}
Using the property of radicals, {{{root(a, p) * root(a, q) = root(a, p*q)}}}, we can multiply these roots:
{{{root(7, x*x^(55))-root(7, x*x^(41))}}}
Using the rule for exponents (add the exponents) to multiply inside the radicals:
{{{root(7, x^(56))-root(7, x^(42))}}}
Simplifying the radicals:
{{{root(7, (x^8)^(7))-root(7, (x^6)^(7))}}}
{{{x^8-x^6}}}