0
A number with a negative exponent can be represented as so:
If you have:
2^-6
Then you could express it as:
1/2^6
In other words:
x^-y (x to the negative y power) = 1/x^y (1 over x to the y power).
This is because, for example 3^x:
3^3 = 27
3^2 = 9
3^1 = 3
So far, the numbers are being divided by three as x decreases...
3^0 = 1
Still divided by three...
3^-1 = 1/3
Now it's logical to say that you could divide this by 3 again...
Divide by three again...
3^-1 = (1/3)/3 = 1/9
As you see 3^-x = 1/3^x
What else can I help you with?
How do you rewrite five to the negative 4Th power so that the exponent is positive?
5-4 = 1/54 = (1/5)4 or 0.24
How do you express x to the power of negative 2 as a fraction?
To express x to the power of negative 2 as a fraction, you can rewrite it as 1 over x squared. This is because any number raised to a negative exponent is equivalent to its reciprocal raised to the positive exponent. Therefore, x to the power of negative 2 is the same as 1 over x squared.
What is 3 to the negative 3 power?
When a number is raised to a negative exponent, it means to take the reciprocal of the number raised to the positive version of that exponent. In this case, 3 to the negative 3 power is equal to 1 divided by 3 cubed. Therefore, 3 to the negative 3 power is equal to 1 divided by 27, which simplifies to approximately 0.0370.
how do you rewrite 8x8x8x8x8 as a exponent?
8^5
How do you rewrite expressions with rational exponent as radical exponent?
In this tutorial we are going to combine two ideas that have been discussed in earlier tutorials: exponents and radicals. We will look at how to rewrite, simplify and evaluate these expressions that contain rational exponents. What it boils down to is if you have a denominator in your exponent, it is your index or root number. So, if you need to, review radicals covered in Tutorial 37: Radicals. Also, since we are working with fractional exponents and they follow the exact same rules as integer exponents, you will need to be familiar with adding, subtracting, and multiplying them. If fractions get you down you may want to go to Beginning Algebra Tutorial 3: Fractions. To review exponents, you can go to Tutorial 23: Exponents and Scientific Notation Part I andTutorial 24: Exponents and Scientific Notation Part II. Let's move onto rational exponents and roots.After completing this tutorial, you should be able to:Rewrite a rational exponent in radical notation.Simplify an expression that contains a rational exponent.Use rational exponents to simplify a radical expression.These are practice problems to help bring you to the next level. It will allow you to check and see if you have an understanding of these types of problems. Math works just like anything else, if you want to get good at it, then you need to practice it. Even the best athletes and musicians had help along the way and lots of practice, practice, practice, to get good at their sport or instrument. In fact there is no such thing as too much practice.To get the most out of these, you should work the problem out on your own and then check your answer by clicking on the link for the answer/discussion for that problem. At the link you will find the answer as well as any steps that went into finding that answer.
How do you multiply positive integers with negative exponents?
To multiply positive integers with negative exponents, first rewrite the expression using the property of exponents that states (a^{-n} = \frac{1}{a^n}). For example, if you have (3 \times 5^{-2}), you can express it as (3 \times \frac{1}{5^2}), which simplifies to (\frac{3}{25}). This method effectively converts the multiplication of a positive integer by a term with a negative exponent into a division operation.
How turn a negative exponent into a decimal?
To convert a negative exponent into a decimal, first rewrite the expression by taking the reciprocal of the base raised to the positive exponent. For example, ( a^{-n} ) can be rewritten as ( \frac{1}{a^n} ). Then, calculate the value of ( a^n ) and take its reciprocal to find the decimal representation. This process effectively transforms the negative exponent into a positive one in the denominator.
How do you solve negative exponents equations with different bases?
To solve equations with negative exponents and different bases, first rewrite each term with a positive exponent by applying the rule (a^{-n} = \frac{1}{a^n}). This may involve moving terms across the equation. Once all terms have positive exponents, you can simplify or solve the equation by isolating the variable or using logarithms, if necessary. Finally, check for extraneous solutions, especially if you manipulated the equation significantly.
Rewrite 4-3 with positive exponents simplify to a fraction with no exponents?
7
How do you rewrite five to the negative 4Th power so that the exponent is positive?
5-4 = 1/54 = (1/5)4 or 0.24
How do you express x to the power of negative 2 as a fraction?
To express x to the power of negative 2 as a fraction, you can rewrite it as 1 over x squared. This is because any number raised to a negative exponent is equivalent to its reciprocal raised to the positive exponent. Therefore, x to the power of negative 2 is the same as 1 over x squared.
Does 16 have any exponents?
No, but you can rewrite it as an expression with exponents if you want.
How do you rewrite 361 perfect square as a exponents?
192 = 361
What is 3 to the negative 3 power?
When a number is raised to a negative exponent, it means to take the reciprocal of the number raised to the positive version of that exponent. In this case, 3 to the negative 3 power is equal to 1 divided by 3 cubed. Therefore, 3 to the negative 3 power is equal to 1 divided by 27, which simplifies to approximately 0.0370.
how do you rewrite 8x8x8x8x8 as a exponent?
8^5
How do you rewrite expressions with rational exponent as radical exponent?
In this tutorial we are going to combine two ideas that have been discussed in earlier tutorials: exponents and radicals. We will look at how to rewrite, simplify and evaluate these expressions that contain rational exponents. What it boils down to is if you have a denominator in your exponent, it is your index or root number. So, if you need to, review radicals covered in Tutorial 37: Radicals. Also, since we are working with fractional exponents and they follow the exact same rules as integer exponents, you will need to be familiar with adding, subtracting, and multiplying them. If fractions get you down you may want to go to Beginning Algebra Tutorial 3: Fractions. To review exponents, you can go to Tutorial 23: Exponents and Scientific Notation Part I andTutorial 24: Exponents and Scientific Notation Part II. Let's move onto rational exponents and roots.After completing this tutorial, you should be able to:Rewrite a rational exponent in radical notation.Simplify an expression that contains a rational exponent.Use rational exponents to simplify a radical expression.These are practice problems to help bring you to the next level. It will allow you to check and see if you have an understanding of these types of problems. Math works just like anything else, if you want to get good at it, then you need to practice it. Even the best athletes and musicians had help along the way and lots of practice, practice, practice, to get good at their sport or instrument. In fact there is no such thing as too much practice.To get the most out of these, you should work the problem out on your own and then check your answer by clicking on the link for the answer/discussion for that problem. At the link you will find the answer as well as any steps that went into finding that answer.
Examples of how ti solve equations with exponents?
To solve equations with exponents, one common method is to isolate the variable by taking the logarithm of both sides, which allows you to bring down the exponent. For example, in the equation (2^x = 16), you can rewrite it as (x = \log_2(16)), leading to (x = 4). Another approach is to express both sides of the equation with the same base; for instance, in (3^{2x} = 27), you can rewrite (27) as (3^3), resulting in (2x = 3) and simplifying to (x = \frac{3}{2}).
