1959 AHSME Problems/Problem 5
Problem 5
The value of is:
Solution
When we multiply numbers with exponents, we add tne exponents together and leave the bases unchanged. We can apply this concept to computate :
Now we can convert the decimal exponent to a fraction:
Now, let us convert the expression into radical form. Since
is the denominator of the fractional exponent, it will be the index exponent:
Since
, we can solve for the fourth root of
:
Therefore,