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(6) with exponent of 12 times (6) with exponent of 5 times (6) with exponent of 2?
 11 months ago
 11 months ago
(6) with exponent of 12 times (6) with exponent of 5 times (6) with exponent of 2?
 11 months ago
 11 months ago

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jollysailorboldBest ResponseYou've already chosen the best response.0
Hi, 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?
 11 months ago

jollysailorboldBest ResponseYou've already chosen the best response.0
Can you add the exponents?
 11 months ago

mindreader67Best ResponseYou've already chosen the best response.0
yes but the 6's are all in perentheses does that mean anything ?
 11 months ago

jollysailorboldBest ResponseYou've already chosen the best response.0
Not 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?
 11 months ago

mindreader67Best ResponseYou've already chosen the best response.0
okay and if they weren't exactly the same what would u do? like say one of the 6's is a 4
 11 months ago

jollysailorboldBest ResponseYou've already chosen the best response.0
The 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 \[(−6)^{17} × (4)^2 = 24^{19} \]
 11 months ago

jollysailorboldBest ResponseYou've already chosen the best response.0
Does that make sense?
 11 months ago

jollysailorboldBest ResponseYou've already chosen the best response.0
Yes? No? I hope this helped :)
 11 months ago
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