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Sagot :
Positive whole number exponents represent repeated multiplication of the base.
For example, 2^3 means 2*2*2. We have 3 copies of the base 2 multiplied
Another example: 2^4 = 2*2*2*2 showing four copies of '2' multiplied
When multiplying 2^3 with 2^4, we have 3+4 = 7 copies of 2 multiplied overall. Notice I added the exponents. So 2^3*2^4 = 2^(3+4) = 2^7
The general rule is that a^b*a^c = a^(b+c)
When multiplying 2 monomials together like (x^(2)*x^(2). We add the exponents together because what you are actually doing is (x*x*x)*(x*x) if you attempted to add the base you would be instead add x^(3) +x^(2) and within algebra, you are taught you can't add these terms together because they both have a different degree to them. Hope that helps clarify the difference.
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