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

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

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

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

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