Question 1078473
<pre>
{{{ x^sqrt(2) = 81^ (1/sqrt( 8 )) }}}
Solve. Justify your work
The number above the square root of 8 is a one
**********************************************<font color = blue><font size = 2><font face = tahoma><b>
The other person's answer, {{{x = 3^8}}} is WRONG!!

{{{highlight(matrix(2,1, " ", x^sqrt(2) = 81^(1/sqrt(8))))}}}___{{{matrix(2,1, " ", x^sqrt(2) = 81^(1/(2sqrt(2))))}}}___{{{matrix(2,1, " ", x^sqrt(2) = 81^( (1/(2sqrt(2)))*(sqrt(2)/sqrt(2))))}}}___{{{matrix(2,1, " ", x^sqrt(2) = 81^((sqrt(2)/2(2))))}}}
{{{matrix(2,1, " ", x^sqrt(2) = 81^((sqrt(2)/4)))}}}___{{{matrix(2,1, " ", x^sqrt(2) = (3^4)^((sqrt(2)/4)))}}}___{{{matrix(2,1, " ", x^sqrt(2) = 3^(4 * (sqrt(2)/4)))}}}___{{{matrix(2,1, " ", x^sqrt(2) = 3^(cross(4) * (sqrt(2)/cross(4))))}}}___{{{highlight(matrix(2,1, " ", x^sqrt(2) = 3^sqrt(2)))}}}

The EXPONENTS are the same, so equating the BASES, x = 3</font></font></font></b></pre>