SOLUTION: can you explain the six laws of exponents with explanations of each one?

Question 25907: can you explain the six laws of exponents with explanations of each one?
Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
1.

eg means (axaxa) x (axa) which is axaxaxaxa -->

2.

eg means (axaxaxaxa) divided by (axa) which is axaxa -->

3.

eg means (axaxa) x (axaxa) which is axaxaxaxaxa -->

4.

eg means (axaxa)/(axaxa) which is 1...but the powers in a division subtract, so we get 3-3 which is zero. The zero power of ANY number is 1.

5. Start with rule 1 and let n be -m. We therefore get .

eg means

6. Start with rule 3 and let n be 1/m. We therefore get .

So, we raise a number "a" to power m and then raise to power 1/m and we get the answer "a".

So, the power 1/m means the "opposite of raising to power m", ie it is the mth root.

eg is the square root of 25.
eg is the fifth root of 32.

jon

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