Math Doubts

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.



Follow us
Email subscription
Math Doubts
Math Doubts is a best place to learn mathematics and from basics to advanced scientific level for students, teachers and researchers. Know more
Follow us on Social Media
Mobile App for Android users Math Doubts Android App
Math Problems

Learn how to solve easy to difficult mathematics problems of all topics in various methods with step by step process and also maths questions for practising.

Learn more