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Exponential notation is used to write really big numbers in smaller forms. Without this, extremely large numbers could not easily be used on a regular medium such as paper.
For example, the mass of the earth is about 5.98 x 1024 kilograms. Without scientific notation (which uses exponents of course), that number would require 25 characters to write out, instead of the nine characters used here.
Another reason that exponents are so useful is the fact that they allow us to group data together, making it simpler to work with. Take this equation for example:
a × a × 1/a × 3/a × 7a × 2a = 7
With all of those "a" terms being separate, there is no simple way to solve that equation. With exponents on the other hand, we can group those terms together and say:
∴ 42a4 / a2 = 7
∴ 42a2 = 7
∴ a2 = 7/42
∴ a = (1/6)1/2
∴ a = 61/2 / 6 ≈ 0.40825
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What is an exponetial notation?
Exponential notation is a useful way of writing big numbers. Exponential notation means "to the power of...". For example: 24 means 2x2x2x2 (2 times itself three times) 10^8 (another way of writing exponential notation) means 100000000 (1 with 8 zeros after it).
What is the exponetial form of ten million?
107
What is 315 in exponetial form?
3.15E+2
What is the square root of 7 in exponetial?
7 raised to the power of 1/2
How do you convert from natural log to numerical values by taking the exponetial?
If: Ln(A) = X Then: A = ex
What is the exponential notation for 112?
write 112 in exponetial notation
What is an exponetial notation?
Exponential notation is a useful way of writing big numbers. Exponential notation means "to the power of...". For example: 24 means 2x2x2x2 (2 times itself three times) 10^8 (another way of writing exponential notation) means 100000000 (1 with 8 zeros after it).
When can exponetial growth happen?
When there is no competition
What is the prime factor using prime factorization using exponetial notation?
The prime factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5. In exponential notation, that's 22 x 32 x 52
What is the exponetial form of ten million?
107
What is 315 in exponetial form?
3.15E+2
What is the exponetial form of 1024?
4 with a 5 as its exponet
Real world example that models exponetial growth?
The human population
What is the exponetial notation of 262144?
262,144 = (2 x 10^5) + (6 x 10^4) + (2 x 10^3) + (1 x 10^2) + (4 x 10^1) + (4 x 10^0)
What is the square root of 7 in exponetial?
7 raised to the power of 1/2
What is the prime factorization of 245 written in exponetial form?
245 = 51 x 72
How do you convert from natural log to numerical values by taking the exponetial?
If: Ln(A) = X Then: A = ex
