
Exponents with values 0 and 1 and that are negative.
Watch the Khan Academy video to review exponents with values of 0 and 1.
In the Khan Academy video, we reviewed that any number raised to the power of 1 equals the original number and any number raised to the power of 0 equals one, such that:
\(a^1=a\) and \(b^0=1\)
Watch the second Khan Academy video to review negative exponents.
By definition \(a^{-1}=\dfrac1a\); thus, \(3^{-1}=\dfrac13\).
Also by definition, \(\bigg(\dfrac1a\bigg)^{-1}=\dfrac{1}{\bigg(\dfrac{1}{a}\bigg)}=a\); thus, \(\bigg(\dfrac13\bigg)^{-1}=3\)
