Question

√a^7√6a^3
Multiply and simplify, if possible. The variable represents a nonnegative real number.

Answer 1

\[\sqrt{a^7} \sqrt{6a^3} = a^{\frac{7}{2}} (6a^3)^{\frac{1}{2}}\]\[=\large{\sqrt6 a^{\frac{7}{2}+\frac{3}{2}}}\]

Answer 2

\[=\sqrt6 \times a^{\frac{10}{2}} = \sqrt6 \times a^5\]

Answer 3

\[=a ^{5}\sqrt{6}\]