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The power operation is recorded as follows:

- base;

- exponent;

- the result of the increment or the value of the degree

*: "\(a\) to the power \(b\) equals \(c\)".*

**Read as**Calculating a step value is called stepping!

If the magnifier is a natural number.

$\begin{array}{l}{a}^{n}=\underset{\u23df}{a\cdot a\cdot a\cdot ...\cdot a}\\ \phantom{\rule{2.940em}{0ex}}n\phantom{\rule{0.147em}{0ex}}\mathit{times}\end{array}$

The positive value of a positive integer is always positive.

${3}^{2}=3\cdot 3=9$

${\left(\frac{2}{5}\right)}^{3}=\frac{2}{5}\cdot \frac{2}{5}\cdot \frac{2}{5}=\frac{8}{125}$

A negative number is positive if the multiplier is an even number and negative if the multiplier is an odd number.

${(-3)}^{3}=(-3)\cdot (-3)\cdot (-3)=-27$

Important!

Distinguish some seemingly similar notes ${(-2)}^{4}$ and $-{2}^{4}$. In the first case, the minus sign is the base sign \((-2)\) and in the second case, the degree sign (base is \(2\)).

${-2}^{4}=-(2\cdot 2\cdot 2\cdot 2)=-16$.