Week 2 – Math 11 – Fractional Powers

This week is where the learning begins, as we have learned a new concept; fractional powers…

My thoughts of fractional powers when I first heard of them weren’t pleasant, but those thoughts soon faded when I learned that they aren’t nearly as complicated as I thought they would be.

To explain simply, fractional powers follow 2 simple rules:

Denominator (bottom) = Root

Numerator (top) = Power

These rules are how I remember things, but they can be further cemented with this simple phrase.

Flower Power.

The reason this phrase helps one to remember these rules is because the roots of a flower are on the bottom, and such is the same for fractional exponents.

Some people are visual learners, so I will now provide some examples.

x^\frac {1}{2} = \sqrt {x}

x^\frac {1}{3} = \sqrt [3]{x}

x^\frac{2}{3} = \sqrt [3]{{x^2}}

These rules apply no matter how large the roots and powers are too!

x^\frac{727}{422} = \sqrt [422]{{x^{727}}}

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