Question 562470
8 to what power is 1/16th?
-------
1/16 (not 1/16th) = 2^-4
8 = 2^3 --> 2 = 8^(1/3)
{{{(8^(1/3))-4 = 1/16}}}
{{{8^(-4/3) = 1/16}}}
-------------
You can use logs and the base change formula:
----
{{{8^x = 1/16}}}
x*log(8) = log(1/16)
x = log(1/16)/log(8)
x = -4/3