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Mathematics 22 Online
OpenStudy (anonymous):

13^8 × 13^-6 13^14 2^13 14^13 13^2

jimthompson5910 (jim_thompson5910):

when you multiply exponential expressions with the same base, you keep that same base and the new exponent is the result of adding the exponents

jimthompson5910 (jim_thompson5910):

so that rule is \[\Large a^b*a^c = a^{b+c}\]

jimthompson5910 (jim_thompson5910):

the base of 'a' stays the same you add the exponents b and c

jimthompson5910 (jim_thompson5910):

example: \[\Large 2^3*2^5 = 2^{3+5}\]

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