Question

(iv) (1296)1/4 X (1296)1/2
EXPONENTS​

Answer 1

Answer:

$= {1296}^{ \frac{1}{4} } \times {1296}^{ \frac{1}{2} } \\ \\ = {1296}^{ (\frac{1}{4} + \frac{1}{2} )} \\ \\ = {1296}^{ (\frac{1}{4} + \frac{2}{4} )} \\ \\ = 1296 ^{ \frac{1 + 2}{4} } \\ \\ = {1296}^{ \frac{3}{4} } \\ \\ = ( {6}^{4} ) ^{ \frac{3}{4} } \\ \\ = {6}^{4 \times \frac{3}{4} } \\ \\ = {6}^{3} \\ \\ = 216$