# Power Law of 1 Exponent

## Formula

$\large b^1 = b$

### Proof

$b$ is a literal number and assume it is raised to the power of one. It is symbolically expressed as follows in mathematics.

$\large b^1$

The meaning of $b$ raised to the power of $1$ is, just write the literal number $b$ once according to the exponentiation.

$\therefore \,\,\,\,\,\, \large b^{1}$ $\,=\,$ $\large b$

Therefore, the value of any quantity raised to the power of one is always equal to the same quantity. Hence, the property is called as the power rule of one exponent.

#### Examples

Observe the following examples

$(1) \,\,\,\,\,\,$ $1^1 = 1$

$(2) \,\,\,\,\,\,$ $2^1 = 2$

$(3) \,\,\,\,\,\,$ ${(-3)}^1 = -3$

$(4) \,\,\,\,\,\,$ ${{1.75}}^1 = 1.75$

$(5) \,\,\,\,\,\,$ ${\Big(\dfrac{6}{7}\Big)}^1 = \dfrac{6}{7}$

The value of the quantity can be anything, just write the quantity once whenever a quantity is raised to the power of one.

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Jun 26, 2023

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