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mindreader67
 one year ago
(6) with exponent of 12 times (6) with exponent of 5 times (6) with exponent of 2?
mindreader67
 one year ago
(6) with exponent of 12 times (6) with exponent of 5 times (6) with exponent of 2?

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jollysailorbold
 one year ago
Best ResponseYou've already chosen the best response.0Hi, welcome to openstudy:) When you multiply a power with the same base, you just add the exponenets together. In this case: \[6^{12} \times 6^5 \times 6^2\] you would add 12 by 5 by 2: \[(6)^{12+5+2}\] Can you do the rest from here?

jollysailorbold
 one year ago
Best ResponseYou've already chosen the best response.0Can you add the exponents?

mindreader67
 one year ago
Best ResponseYou've already chosen the best response.0yes but the 6's are all in perentheses does that mean anything ?

jollysailorbold
 one year ago
Best ResponseYou've already chosen the best response.0Not really. You would get \[(6)^{19}\] You see, it's okay if it's a negative, because all three of them are negative. They have to be exactly the same for you to be able to add the exponents like that :) Does that help?

mindreader67
 one year ago
Best ResponseYou've already chosen the best response.0okay and if they weren't exactly the same what would u do? like say one of the 6's is a 4

jollysailorbold
 one year ago
Best ResponseYou've already chosen the best response.0The parentheses just indicate that the negative is part of the 6, so that it isn't confused with a subtraction sign. If one of the 6's was a 4, lets say \[(−6)^{12} × (−6)^{5} × (4)^2\] Then it would be \[(−6)^{12+5} × (4)^2\] or just \[(−6)^{17} × (4)^2\] To simplify further, you add the powers together and multiply the bases, so \[(−6)^{17} × (4)^2 = 24^{19} \]

jollysailorbold
 one year ago
Best ResponseYou've already chosen the best response.0Does that make sense?

jollysailorbold
 one year ago
Best ResponseYou've already chosen the best response.0Yes? No? I hope this helped :)
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