$$8^{2/3}-\sqrt{9}\times10^{0}+(\frac{1}{144})^{-1\times-1/2}$$
$\frac{13}{12}\approx 1.083333333$
$$4-\sqrt{9}\times 10^{0}+\left(\frac{1}{144}\right)^{\frac{-\left(-1\right)}{2}}$$
$$4-3\times 10^{0}+\left(\frac{1}{144}\right)^{\frac{-\left(-1\right)}{2}}$$
$$4-3\times 1+\left(\frac{1}{144}\right)^{\frac{-\left(-1\right)}{2}}$$
$$4-3+\left(\frac{1}{144}\right)^{\frac{-\left(-1\right)}{2}}$$
$$1+\left(\frac{1}{144}\right)^{\frac{-\left(-1\right)}{2}}$$
$$1+\left(\frac{1}{144}\right)^{\frac{1}{2}}$$
$$1+\frac{1}{12}$$
$$\frac{13}{12}$$
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$\frac{13}{2 ^ {2} \cdot 3} = 1\frac{1}{12} = 1.0833333333333333$
