Question 201747
*[Tex \LARGE 2^{\frac{3}{5}}*2^{\frac{7}{10}}] ... Start with the given expression.



*[Tex \LARGE 2^{\frac{3}{5}+\frac{7}{10}}] ... Multiply by using the identity {{{x^(y)*x^(z)=x^(y+z)}}}



*[Tex \LARGE 2^{\frac{6}{10}+\frac{7}{10}}] Multiply the first fraction by {{{2/2}}}



*[Tex \LARGE 2^{\frac{6+7}{10}}] ... Combine the fractions.



*[Tex \LARGE 2^{\frac{13}{10}}] ... Add



So *[Tex \LARGE 2^{\frac{3}{5}}*2^{\frac{7}{10}}=2^{\frac{13}{10}}]