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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.