Table of Contents
Why do negative exponents turn into fractions?
A negative exponent helps to show that a base is on the denominator side of the fraction line. In other words, the negative exponent rule tells us that a number with a negative exponent should be put to the denominator, and vice versa.
What happens when something is raised to a negative power?
Negative exponents denote a reciprocal value. A number raised to a negative power is equal to one over the number raised to the positive opposite power. Example: x^-2 = 1/x^2.
How do you turn an exponent into a fraction?
Remember the index (root) of the radical will become the denominator of the fractional exponent, and the power will become the numerator. Create the denominator first and then the numerator. Create the numerator first and then the denominator. Either way, you will have a correct answer.
What does negative power indicate?
The negative sign on an exponent means the reciprocal. Think of it this way: just as a positive exponent means repeated multiplication by the base, a negative exponent means repeated division by the base.
What does it mean if the exponent is negative?
In such cases, Mathematics indicates that the principle or property that dictates that any power raised to a negative exponent will be equal to the unit divided by the same power, but with positive exponent, a situation that may be represented by The following way:
How do you solve negative exponents with WolframAlpha?
You can read about negative exponents on wikipedia. You can solve problems like that with WolframAlpha. In the second step, we use the following: 9 3 / 2 = 9 1 / 2 + 1 = 9 1 / 2 ⋅ 9 1 = 9 9. Any number raised to the − 1 power means taking the reciprocal.
What is the relation between rational base power and exponent?
Therefore, any fraction raised to this type of exponent shall be equal to the unit divided by this rational base power but raised to a positive exponent.