- #1
trentt
- 11
- 0
The problem is (\sqrt[4]{6x})^3 And i have to convert it to exponential form, and I forgot how to do this, so i need some help.
Thank you.
Thank you.
Caramon said:[tex]
(\sqrt[4]{6x})^3 = ({6x}^{1/4})^3 = {6x}^{3/4}
[/tex]
Technically, you can go farther but... I assume we're going to stop there.
I typed the LaTeX wrong the first time, the last expression should read:trentt said:Thanks
Caramon said:I typed the LaTeX wrong the first time, the last expression should read:
[tex]
({6x})^{3/4}
[/tex]
Give that one a shot yourself and tell me where you get stuck, I'll be here reading this so I can help you along. :)
[tex]
(\sqrt[4]{(a^3)(b^5)})^{1/2}
[/tex]
Hint: Remember roots are on the bottom, so convert the square root into an exponential expression and then do your exponent rules and simplify!
Exponential form is a mathematical representation of a number using a base and an exponent. It is written in the form of an, where a is the base and n is the exponent.
Converting to exponential form allows us to express large or small numbers in a more concise and manageable way. It is also useful for performing mathematical operations and understanding patterns in numbers.
To convert from standard form to exponential form, we need to identify the base and exponent. The base is the number multiplied by a power of 10, and the exponent is the number of times the decimal point moves. The final exponential form is written as the base multiplied by 10 to the power of the exponent.
Some common examples of exponential form are scientific notation, such as 3.2 x 106, and the growth of bacteria or population, which can be represented as 2n, where n is the number of generations or time periods.
Exponential form is used in many real-life situations, such as calculating interest rates, population growth, and radioactive decay. It is also used in fields such as finance, economics, and science to express large or small numbers in a more concise and understandable way.