Is there some equations and/or formula's that can help me when doing Rational Exponents?
I have to do a quiz, and I want to remember and write them down. I already know a few, but can any of you please help. I will appreciate it.
I am sorry, I do not even know the vocabulary, just how to do the problems.
Okay, thank you though, I know probably enough to help me. Although, it would have been a little more helpful to know more example equations for the type of math that I am doing. I think that might be find with the ones that I have. Thank you for trying! =)
You are welcome and good luck.
Certainly! Rational exponents involve expressing powers and roots using fractions as exponents. Here are some equations and formulas that can help you when working with rational exponents:
1. Power of a Product Rule: (a * b)^n = a^n * b^n
This rule states that when you have a product raised to a power, you can distribute the power to each factor individually.
2. Power of a Quotient Rule: (a / b)^n = a^n / b^n
This rule states that when you have a quotient raised to a power, you can distribute the power to both the numerator and the denominator individually.
3. Product of Powers Rule: (a^n * b^n) = (a * b)^n
This rule states that when you have two numbers raised to the same power and multiplied together, you can combine them into a single expression with the same power.
4. Quotient of Powers Rule: (a^n / b^n) = (a / b)^n
This rule states that when you have two numbers raised to the same power and divided, you can combine them into a single expression with the same power.
5. Power of a Power Rule: (a^n)^m = a^(n * m)
This rule states that when you have a number raised to a power and the result is raised to another power, you can multiply the exponents.
6. Power of a Root Rule: √(a^n) = a^(n/m)
This rule states that the nth root of a number raised to the mth power can be expressed as the number raised to the n/m power.
Remember, these rules only apply when working with rational exponents. When simplifying expressions, always look for opportunities to apply these rules to make the calculations easier.
I hope these equations and formulas help you with your quiz! Good luck!