The nth Root and Fractional Indices
🎬 Video Tutorial
(0:01) The $n$th Root of a Number: The value that, when raised to the power of $n$, results in the original number. For example, the 4th root of 16 is 2, as $2^4 = 16$.(1:48) Fractional Indices Rule: Raising a number to the power of $1/n$ is the same as finding the $n$th root. For instance, $125^{\frac{1}{3}} = \sqrt[3]{125} = 5$.(2:15) Combining Roots and Powers: For fractional exponents like $125^{\frac{2}{3}}$, first find the cube root of 125, then square the result to get 25.
📂 Revision Cards
🍪 Quiz Time - Practice Now!
🎩 AI Math Solver (ChatCat)
Need math help? Chat with our AI Math Solver at the bottom right!