# How do you simplify 11^(1/2) • 11³?

${11}^{\frac{7}{2}} \mathmr{and} {11}^{3.5}$
Since they have the common base of 11, by exponent law, ${a}^{n} + {a}^{m} = {a}^{n + m}$
So it would be ${11}^{\frac{1}{2} + 3} = {11}^{3.5} \mathmr{and} {11}^{\frac{7}{2}}$