Question

If the fraction with numerator the square root of x to the fifth power, end root, and denominator the cube root of x to the fourth power, end root, end fraction, equals x raised to the fraction a over b power for all positive values of x, what is the value of the fraction a over b?

Answer 1

The answer can be obtained using a calculator.

It corresponds to a notable identity

sin (45) =   $\sqrt{2}$/ 2

sin (45) = 0.7071

$\sqrt{2}$ / 2  = 0.7071