Math Doubts

Power Law of 1 Exponent

Fact-checked:

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.

Ashok Kumar B.E. - Founder of Math Doubts

Ashok Kumar, B.E.

Founder of Math Doubts

A Specialist in Mathematics, Physics, and Engineering with 14 years of experience helping students master complex concepts from basics to advanced levels with clarity and precision.