y^2/3 + 3y^-1 -2 when y =1/8

asked by guest
on Dec 07, 2024 at 9:44 pm



You asked:

Calculate the value of y23+3y12\frac{{y}^{2}}{3} + 3 {y}^{-1} - 2 when y=18y = \frac{1}{8}.

MathBot Answer:

y23+3y12=4225192\frac{{y}^{2}}{3} + 3 {y}^{-1} - 2 = \frac{4225}{192}


y232+3y=(18)23+3182=38+13822=38+13642=38+11922=4225192\begin{aligned}\frac{y^{2}}{3} - 2 + \frac{3}{y}&=\frac{\left(\frac{1}{8}\right)^{2}}{3} + \frac{3}{\frac{1}{8}} - 2\\&=3 \cdot 8 + \frac{1}{3 \cdot 8^{2}} - 2\\&=3 \cdot 8 + \frac{\frac{1}{3}}{64} - 2\\&=3 \cdot 8 + \frac{1}{192} - 2\\&=\frac{4225}{192}\end{aligned}