Question

find ( 46656)power of -1/6

Answer 1

in such cases always remember base can be written in the power of 6.
on analysis I found that 46656 is 6 to the power 6
$46656 = {6}^{6} \\ ( {46656)}^{ \frac{ - 1}{6} } \\ = {( {6}^{6} )}^{ \frac{ - 1}{6} } \\ = {6}^{(6 \times \frac{ - 1}{6} )} \\ = {6}^{ - 1} \\ = \frac{1}{6} \: \: \: \: \: ans$

Answer 2

Answer:

$(46656)^{-\frac{1}{6}}=0.166$

Step-by-step explanation:

Given : Expression  (46656)power of -1/6

To find : The solution of the expression

Solution :

Step 1- Write the expression

$(46656)^{-\frac{1}{6}}$

Step 2- Try to find out the root of 46656 for simplification

$(6^6)^{-\frac{1}{6}}$

Step 3- The power will cancel out

$(6)^{-1}$

$=\frac{1}{6}$

$=0.166$

Therefore, $(46656)^{-\frac{1}{6}}=0.166$