- #1
Deagonx
- 22
- 0
I'm rather confused on how to operate exponents on fractions. For example
(4/3)^-1
or
(4/3)^1
Please explain?
(4/3)^-1
or
(4/3)^1
Please explain?
Exponential fractions are fractions that have an exponent in either the numerator or denominator, or both. They can also be written as powers of a fraction, where the denominator acts as the base and the numerator as the exponent.
To simplify exponential fractions, you can try to factor the numerator and denominator, then cancel out any common factors. If there are no common factors, you can use the rules of exponents to rewrite the fraction in a simpler form.
The rules of exponents for exponential fractions include multiplying exponents when there is a power raised to another power, dividing exponents when there is a power divided by another power, and raising a power to a negative exponent which creates a reciprocal. You can also add or subtract exponents when the bases are the same.
Exponential fractions can be used in real-life situations to represent growth or decay. For example, when calculating compound interest rates, the interest rate can be written as an exponential fraction with the base being 1 plus the interest rate. It can also be used to calculate population growth or decay.
Some common mistakes to avoid when working with exponential fractions include forgetting to follow the rules of exponents, not simplifying the fraction enough, and mixing up the placement of the base and exponent. It is important to carefully follow the steps and double-check your work to avoid these mistakes.