This week in math we learned about negative exponents and fraction exponents.
A negative exponent such as 
is equal to 
which is equal to 
, it is normally very hard to evaluate a negative exponent but it is made feasibly doable by converting the negative into a positive, however this would change the entire output of the equation so we also have to switch the denominator and the numerator, because every whole number has a denominator of at least 1: 5 becomes 
, and because the exponent only applies to the 5 the equation is now 
, 
is equal to 25 so the final answer is .
Exponents that are fractions can be simpler, 
for example, this is equivalent to ![\sqrt[3]{8}](http://s0.wp.com/latex.php?latex=%5Csqrt%5B3%5D%7B8%7D&bg=ffffff&fg=000000&s=0 "\sqrt[3]{8}")
which is equal to 2. Equations that use fractions with numerators more than 1 are a bit different, with 
in radical form it would be interpreted as ![\sqrt[3]{8}^2](http://s0.wp.com/latex.php?latex=%5Csqrt%5B3%5D%7B8%7D%5E2&bg=ffffff&fg=000000&s=0 "\sqrt[3]{8}^2")
, the numerator turns into the exponent for the radical, since we know that the cube root of 8 is 2 so we know that = 4 because 
is equal to 4, you always root with the denominator and use the numerator as the exponent.