Rational Exponents

# Rational Exponents - Rational Exponents and Roots If x is...

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Rational Exponents and Roots

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If x is positive, p and q are integers and q is positive, In other words, when you have a rational exponent, the denominator of that exponent is your index or root number and the numerator of the exponent is the exponential part. I have found it easier to think of it in two parts. Find the root part first and then take it to the exponential part if possible. It makes the numbers a lot easier to work with. Radical exponents follow the exact same exponent rules as discussed in Tutorial 2: Integer Exponents. In that tutorial we only dealt with integers, but you can extend those rules to rational exponents. Here is a quick review of those exponential rules: Review of Exponential Rules
Example 1 : Evaluate . View a video of this example * Rewrite exponent 1/2 as a square root We are looking for the square root of 49 raised to the 1 power, which is the same as just saying the square root of 49. If your exponent's numerator is 1, you are basically just looking for the root (the denominator's

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Rational Exponents - Rational Exponents and Roots If x is...

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