Question

find the value of 16 to the power 3/4 / ÷ 16 to the power -1/4

Answer 1

$= {16}^{ \frac{3}{4} } \div {16}^{ \frac{ - 1}{4} } \\ = {16}^{ \frac{3}{4} - ( - \frac{1}{4} )} \\ = {16}^{ \frac{3 + 1}{4} } \\ = {16}^{ \frac{4}{4} } \\ = 16$