The exponents tell you how many times a number is duplicated.If you see 33displaystyle 33, you know that you are going to multiply it by itself 3 times, which will make it 27 displaystyle.If you want to know how many times you should divide by a number that is being multiplied by itself, negative exponents are the way to go.Negative exponents can be written as 22,(22)1,1(22), or 12x2displaystyle.Before an equation can be simplified, the negative exponents must become positive.It might seem difficult to get the hang of, but it's a simple process with constant rules.
Step 1: Understand the basics of negative expression.
A base number is usually written as a negative number's power.The larger number is known as a base number while the small number in this case is the negative exponent.They tell you how many times to add up a number.The base number is raised to the power of both positive and negative exponents.If you want to solve an equation with a negative exponent, you need to make it positive.
Step 2: If you want to simplify them, you can convert negative exponents to fractions.
The base number is on the wrong side of a fraction line.If you want to simplify an expression with a negative exponent, you just flip the base number and exponent to the bottom of the fraction.It's easier to understand how to work with negative exponents in an equation if you write them as fractions.The numerator and base number are used to create a fraction with the number 1 as the denominator.Make it positive by raising the base number to the same power.33,52, 5-2, and 74 are now displaystyles.This process is known as a negative rule.
Step 3: Negative expressions with unknown numbers can be simplified.
You can begin to simplify more difficult expressions once you understand the negative exponent rule.Even though you will be working with unknown values, the rules to simplify such an equation never change.2x1displaystyle can be written as 2X11 displaystyle frac
Step 4: Understanding how to solve for negative exponents in fraction form.
The exponent can be a fraction.The same way is used to solve for a base number with a whole exponent.You must first convert to a fraction to simplify a fractional negative exponent.When the base number is switched to the denominator, you can start by converting it to a fraction.It is equal to 1162displaystyle frac1161/2.
Step 5: There is a difference between negative bases and negative coefficients.
There are different rules for negative bases and negative exponents in an equation.If the exponent is positive, they don't need to be converted into fractions.To become positive, negative negative exponents must be converted into fractions.When an exponent is negative and a base number is positive, the expression must be converted into a fraction.55 is used for example.The style is -55
Step 6: To complete the equations quickly, use a calculator.
There are specific functions for calculating exponents in the calculator.The E, "", or "ex" button can be used to raise any number.Calculators make it easy to check your work.If you want to find answers quickly without converting them into fractions, you should use a calculator.
Step 7: If the base numbers are the same, add exponents with it.
If there are two identical base numbers, you can add the negative exponents together.The base number will not change while the exponent will.You can further simplify 41/2displaystyle into 14 1/2 displaystyle.
Step 8: If the divided base numbers are the same, subtract negative exponents from them.
They can be subtracted from one another.If you divide two base numbers with the same value and different values, you simply subtract the values from each other and keep the base number as it is.The second negative will be canceled out by the first positive when the exponent is negative.The values in 2722displaystyle will be subtracted as (7)(2) displaystyle.
Step 9: If the base number is different, keep the same values.
If two base numbers have the same value, don't change it.The exponent number will not change when you divide numbers with different bases.If you divide the bases, keep the exponent the same.566displaystyle will become 1001/6.
Step 10: Become a master of negative exponents by practicing different equations.
It is a good idea to challenge yourself with different equations once you understand the basics of working with negative exponents.The rules will not be changed.Basic rules for negative exponents will make your math homework easy.The displaystyle is 16-1/4+4-2.