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# how to subtract exponents with same base

Question:a^(1/3) + a^(2/3) how does this work? can't remember what about the same exponents and same base? a^(1/3) + a^(1/3)?

Answers:That's a simple as it gets.

Question:Could someone please go through the process for: 2^1000 - 2^999? Oh, and the "^" just means represents the exponent, fyi. Actually all the answers that were supplied were incorrect. Your concept basically says that if I were to do: 2^4 - 2^3 = 2^1. But if you were to actually work it out, it comes to: 16 - 8 = 8. And everybody knows 2^1 does not equal 8.

Answers:Notice that we are dealing with 'like bases' here. All that means is that the base is the same, in this case, 2. The laws of exponents say you can add/subtract the exponents of like bases, and keep the base the same. 1000 - 999 = 1 Therefore, the answer is 2^1, however mathematicians do not like to write anything to the power of '1', so we just say that the answer is 2. Good luck.

Question:7a square + 8a cubed

Answers:You cannot. It can be factored, if that helps any. 7a + 8a = (7 + 8a) a

Question:When you add and subtract exponents, do the have to have the same base, or the same exponent, or the same coefficent? And if it's none of them, please explain!!

Multiplying Exponents with the Same Base :Multiplying Exponents with the Same Base: learn how to multiply exponents that have the same base number. Mini-Transcript: use the Product of Powers Property -- keep the base number and just add the exponents All videos now in 16:9 format -- watch in FULL SCREEN!

Math Skills & Equations : Subtracting Exponents :To subtract exponents, be sure that the base numbers or variables match and then subtract the bottom exponent from the top exponent. Learn how to deal with math problems where the top exponent is less than the bottom exponent with instructions from a math professor in thisfree video math lesson. Expert: Jimmy Chang Bio: Jimmy Chang has been a math teacher at St. Pete College for nearly a decade. He has a master's degree in math, and his specialties include calculus, algebra, liberal arts, math and trigonometry. Filmmaker: Christopher Rokosz