Laws of exponent not by image

September 19, 2026Mathematics

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Sure, here are the laws of exponents presented using LaTeX:

Product of Powers
$a^{m} \times a^{n} = a^{m+n}$
Quotient of Powers
$\frac{a^{m}}{a^{n}} = a^{m-n}$
Power of a Power
$(a^{m})^{n} = a^{m \cdot n}$
Power of a Product
$(ab)^{n} = a^{n} \times b^{n}$
Power of a Quotient
$\left(\frac{a}{b}\right)^{n} = \frac{a^{n}}{b^{n}}$
Zero Exponent
$a^{0} = 1 \quad (a \neq 0)$
Negative Exponent
$a^{-n} = \frac{1}{a^{n}} \quad (a \neq 0)$
These laws are essential for simplifying expressions involving exponents. If you need examples or applications of these laws, just let me know!

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