(1/3)^-2+(1/4)^-2+(1/2)-2

asked by guest
on Nov 25, 2024 at 5:32 am



You asked:

Evaluate the expression: \({\left( \frac{1}{3} \right)}^{-2} + {\left( \frac{1}{4} \right)}^{-2} + \frac{1}{2} - 2\)

MathBot Answer:

\[{\left( \frac{1}{3} \right)}^{-2} + {\left( \frac{1}{4} \right)}^{-2} + \frac{1}{2} - 2 = \frac{47}{2} = 23.5\]

\[\begin{aligned}{\left( \frac{1}{3} \right)}^{-2} + {\left( \frac{1}{4} \right)}^{-2} + \frac{1}{2} - 2& = \frac{1}{(\frac{1}{3})^{2}} + \frac{1}{(\frac{1}{4})^{2}} + \frac{1}{2} - 2\\& = 9 + \frac{1}{(\frac{1}{4})^{2}} + \frac{1}{2} - 2\\& = 9 + 16 + \frac{1}{2} - 2\\& = 25 + \frac{1}{2} - 2\\& = \frac{51}{2} - 2\\& = \frac{47}{2}\end{aligned}\]

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