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DrPepperx3Best ResponseYou've already chosen the best response.1
7. Evaluate 1/2a^–4b^2 for a = –2 and b = 4. a. 2 b. 1/2 c. 3 d. 4 8. Is the following statement always, never, or sometimes true? A number raised to a negative exponent is negative. a. always b. never c. sometimes
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
# 7 First simplify \[\Large \frac{1}{2}a^{4}b^{2}\] \[\Large \frac{1}{2}\frac{1}{a^{4}}b^{2}\] \[\Large \frac{b^2}{2a^{4}}\] Now plug in a = 2 and b = 4 \[\Large \frac{(4)^2}{2(2)^{4}}\] I'll let you finish
 one year ago

DrPepperx3Best ResponseYou've already chosen the best response.1
K(: and what abput #8 ? I thought it was sometimes
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
for #8, think about the following examples 2^(3) (4)^(2) (5)^(3) (7)^(4) Evaluate each and tell me what you get
 one year ago

DrPepperx3Best ResponseYou've already chosen the best response.1
2^(3) = 1/8 (4)^(2) = 1/16 (5)^(3) =  1/125 (7)^(4) = 1/2401 ?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
perfect on all 4, what do you notice about the signs of each result
 one year ago

DrPepperx3Best ResponseYou've already chosen the best response.1
Well 1 is negative so i was right the answer is sometimes because the rest is positive
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
correct, So when we say "A number (positive or negative) raised to a negative exponent is negative" is not always true (because you got 3 positive results out of 4), but it's not completely false either (you got 1 negative result out of 4) so that's why it's sometimes true
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
you're welcome
 one year ago
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