Express each of the following in the exponential form: Express each of the following as rational number: Powers with positive and negative exponents such as 5² or (-5)² is the positive exponent and 5\(^\) is the multiplicative inverse of aⁿġ. (i) We can write 5³ in the product form as 5 × 5 × 5 and its product as 125. Here, 3/2 is the base, 5 is the exponent. (ii) Also, 3/2 × 3/2 × 3/2 × 3/2 × 3/2 in the exponential form is written as (3/2)⁵ and is read as 3/2 raised to the power 5. (i) We can write -5 × -5 × -5 × -5 in the exponential form as (-5)⁴ and is read as -5 raised to the power 4. Exponential notation is also known as power notation. However, if you still have any doubts or confusion, please contact us and request a professional Mathematics Tutor for more clarification.Therefore the notation of writing the product of rational number by itself several times is called the exponential notation or the power notation. I hope we made the concept of the Exponential Form clear for you. To better understand the concept of Exponential Forms and how to solve its questions, here is a detailed video explanation: Final Words Also, the numerator will change into the power of the radical.įor example, if we have an exponential form of 9 3/4, then its radical form would be 4√9 3. To do the conversion, we have to shift the denominator of the exponent to the left side of the radical. The √ symbol is radical, and it represents the nth roots. To convert an exponential form into a radical form, we use the formula: How to Convert Exponential Form to Radical Form? The logarithmic form of this equation will be: If we have an exponential form of 6 2 = 100, here, b = 100, a = 2, and e = 6. You can even convert the exponential form into logarithmic form with a straightforward and easy-peasy procedure. How to Convert Exponential form to Logarithmic Form? To help you have a better understanding, here is a detailed table of the three forms used to represent numbers: Standard Form 10,000 had four zeroes in it so that the power would be 10 4. To find the power of a large number, all you need to do is count the zeroes. This exponential form mentioned above is known as scientific notation. This process is called the Standard Exponential Form.įor example, we have a number 534,000 we are going to simplify it like this: You can also use exponential equations and exponents to simplify and rewrite large numbers. This reversing situation is used to factor out the numbers in numerical problems. Now, if we want to reverse these expressions, they will be like these: The most typical expression of exponential form will look like this: We can convert almost all the Mathematics expressions into Exponential form to cover the repeated multiplication. Power will determine or identify how many times the base number is being multiplied. In this, 6 will be the base, and 4 will be the power. If an equation is 6 x 6 x 6 x 6, then its exponential form will be: The exponential form contains base and exponents, and it helps in simplifying an equation. It is simply a shortcut to writing numbers that are being multiplied by themselves more than one time. The concept of the exponential form may sound confusing, but it is effortless instead. Just read on, and you will feel like having a lesson from a professional tutor! What is Exponential Form? Are you having trouble learning exponential forms and want to learn more about them? You have come to the right place! In this post, we will tell you everything you need to know about exponential form, including how to write, simplify, and determine it.
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