Math Doubts

Power Law of 1 Exponent


$\large b^1 = b$


$b$ 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.


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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