Question

Simply and find the value of the following

Answer 1

Answer:

this is the answer of your question

Answer 2

Step-by-step explanation:

$i) \: {(729)}^{ \frac{1}{6} }$

$= {(3 \times 3 \times 3 \times 3 \times 3 \times 3)}^{ \frac{1}{6} }$

$= \sqrt[6]{(3 \times 3 \times 3 \times 3 \times 3 \times 3)}$

= 3 (Ans)

$ii) \: {(64)}^{ \frac{2}{3} }$

$= \sqrt[3]{ {64}^{2} }$

$= \sqrt[3]{(64 \times 64)}$

$= \sqrt[3]{ {2}^{12} }$

$= {(2)}^{ \frac{12}{3} }$

$= {2}^{4}$

= 16 (Ans)

$iii) \: {(243)}^{ \frac{6}{5} }$

$= {( \sqrt[5]{ {243} })}^{6}$

$= {3}^{6}$

= 729 (Ans)