Rules for exponents to multiply powers, add the exponents to divide powers, subtract the exponents to find a power of a power, multiply the exponents to find a power of a quotient, apply the power top and bottom to find a power pf a product, apply the exponent to each factor in the product x0 = 1 anything to the power zero equals one x-a = 1/xa a negative exponent means "one over" the positive exponent
A rational exponent is an exponent in the form of a fraction. Many financial formulas use rational exponents. Compound interest is formula that uses rational exponents.
Negative exponents in real life situations are like getting rid of pesky little numbers by sending them to the basement. They basically tell you to take the reciprocal of the number with the positive exponent. So, if you see a negative exponent, just flip the base to get rid of it like a bad habit. It's all about playing mathematical mind games to make the numbers work in your favor.
bacterial growth for one. exponents are used in equations when representing things. growth is the main thing, growth of possibilities(ie. possible outcomes of a situation) another example of a growth calculation would be calculating interest on a loan or a credit card or a savings account (if its compound interest, which most is these days) if you want to get advance, the hardy weinberg equation is used for mapping the gene pool of a population, and it has exponents. also, wave functions of particles. also, it's how ARE exponents used in real live?
You multiply the exponents.
It is when you apply your data to the real world, and how it can help you in the real world.
In construction, if you wanted to paint a room or lay down carpet you need to know the area, which is done in square feet. This is a real world example that is useful, so that you don't over spend on useless supplies or get too few.
Rules for exponents to multiply powers, add the exponents to divide powers, subtract the exponents to find a power of a power, multiply the exponents to find a power of a quotient, apply the power top and bottom to find a power pf a product, apply the exponent to each factor in the product x0 = 1 anything to the power zero equals one x-a = 1/xa a negative exponent means "one over" the positive exponent
A rational exponent is an exponent in the form of a fraction. Many financial formulas use rational exponents. Compound interest is formula that uses rational exponents.
No. The context need not be a real world setting. If I am writing a Science Fiction book, my contextual intelligence would be the ability to use and apply the knowledge that is appropriate to my fictional world. If I were any good as a writer, that would not be the real world setting but a convincing but unreal extension of it.
Scientific notation is a way to write very large or very small numbers using exponents. For example 2000 is 2x103 . We can do the same thing with negative exponents and write very small numbers like 1/2000 which is 2x10-3 . So one real life use of exponents in in scientific notation.
You could compare it to water distilling.
Yes, it does.
Exponents make the question shorter. Ex: 2.30134 x 106=2301340. Instead of saying 2.30134 x 10 x 10 x 10 x 10 x 10 x 10=2301340
it deals with bank accounts and interest (compounding interest)
Negative exponents in real life situations are like getting rid of pesky little numbers by sending them to the basement. They basically tell you to take the reciprocal of the number with the positive exponent. So, if you see a negative exponent, just flip the base to get rid of it like a bad habit. It's all about playing mathematical mind games to make the numbers work in your favor.
Bankers/investors use them to project savings over a long period with compound interest. Finance officers use them to calculate the payments when you buy something on credit. Believe it or not education is real world. When you are studying exponential equations you are in the real world. Population growth can be estimated by using exponentials. Numbers of illegal immigrants can also be estimated.