Power1 or 0 — lesson. Mathematics State Board, Class 7.

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Regardless of the base value of the step with the lever\(\ 1\) assumes a number equal to the given base:

a^{1} = a .

Example:

{(\frac{5}{8})}^{1} = \frac{5}{8}

{(- 14)}^{1} = - 14

\begin{array}{l} 1^{1} = 1 \\ {(- 1)}^{1} = - 1 \\ 0^{1} = 0 \end{array}

Important!

On the degree of the figure with the lever \(0\) accept the number \(1\):

a^{0} = 1 .

The exception is degree

0^{0}

that doesn't make any sense.

3^{0} = 1

{(7. 5)}^{0} = 1

{(- 8 \frac{1}{6})}^{0} = 1

\begin{array}{l} 1^{0} = 1 \\ {(- 1)}^{0} = 1 \end{array}

Important!

Numbers \(1\), stepping up to any degree is \(1\).

\begin{array}{l} 1^{n} = 1, n - any number . \\ 1^{1} = 1^{33} = 1^{199} = 1^{1000} = 1 \end{array}

Reference:

Mathematics Handbook for Students / J. Mencis, A. Sika - Riga: The Star, 1990. pp. 96-98.

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4. Power1 or 0