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Exercise

$\left(-2\right)^{-\frac{2}{9}}$

Step-by-step Solution

1

Apply the formula: $a^{\frac{b}{c}}$$=\frac{1}{a^{\frac{\left|b\right|}{c}}}$, where $a=-2$, $b=-2$ and $c=9$

$\frac{1}{\sqrt[9]{\left(-2\right)^{2}}}$

Final answer to the exercise

$\frac{1}{\sqrt[9]{\left(-2\right)^{2}}}$

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Main Topic: Arithmetic

Arithmetic is a branch of mathematics that consists of the study of numbers, especially the properties of the general operations of addition, subtraction, multiplication and division.

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