Question

Help please :)

Answer 1

writing my question.

Answer 2

\[\frac{ 1 }{ -2 }\times\frac{ 1 }{ -2 }\times\frac{ 1 }{ -2 }\times\frac{ 1 }{ -2 }\]

Answer 3

\[-(\frac{ 1 }{ 2 })^4\]

Answer 4

are these equal?

Answer 5

well i already know they are not equal but i'm not sure why.

Answer 6

what do you think ?
\(\Large -1\times -1 =1\)

Answer 7

this is correct

Answer 8

even number of negatives multiply to give out a positive

Answer 9

odd number of negatives multiply to give out a negative

Answer 10

\[\frac{ 1 }{ -2 }\times\frac{ 1 }{ -2 }\times\frac{ 1 }{ -2 }\times\frac{ 1 }{ -2 } = \dfrac{1}{(-2)^4}\]

Answer 11

oh yeah,
it was
\(\huge -2\)
which was mutiplied 4 times

so \(-2\) will have the exponent of 4

Answer 12

\[-\left(\dfrac{1}{2}\right)^4 = -\left[\dfrac{1}{2}\times\dfrac{1}{2}\times\dfrac{1}{2}\times\dfrac{1}{2}\right] = \dfrac{1}{-(2)^4}\]

Answer 13

\[-(\frac{ 1 }{ 2 })^4\]

Answer 14

Notice that negative sign is outside of parentheses.

Answer 15

yes

Answer 16

\((-a)\times (-a) = (-a)^2 \ne -a^2\)

Answer 17

So tell me \(\dfrac{1}{(-2)^4} = \dfrac{1}{-(2)^4}\)?

Answer 18

how aren't they equal?? I don't get it.

Answer 19

you distrubute the negative sign to the #2

Answer 20

I mean is it true that \(\dfrac{1}{(-2)^4} = \dfrac{1}{-(2)^4}\)?

Answer 21

correct?

Answer 22

it looks true to me.

Answer 23

oh wait.

Answer 24

i must be doing something wrong.

Answer 25

\(\large (-a)\times (-a) = =-1\times a \times -1\times a =a^2 \\ -a^2 = -1\times a \times a =-a^2\)

Answer 26

\((-2)^4 = -2\times-2\times-2\times-2 \neq -2\times2\times2\times2 = -(2)^4\)

Answer 27

Another way to look at it is that \(-2 = -1\cdot2\), so \((-2)^4 = (-1)^4\cdot2^4\)

Answer 28

i'm thinking guys, thanks a lot for helping me :)

Answer 29

oh i think i get it now.

Answer 30

it's just about brackets, exponents, multiplication, addition, subtraction, BEDMAS.

Answer 31

\[-(2)^4 \neq (-2)^4\]

Answer 32

correct??

Answer 33

yes

Answer 34

because,

Answer 35

\((-2)^4= (-2)\times (-2)\times (-2)\times (-2) = 4\times 4 =16 \\ -(2^4) = -(2\times 2\times 2\times 2 ) = - (4\times 4) = -16 \)

Answer 36

\[-2^4 =-2\times-2\times-2\times-2 = 16\]

Answer 37

lol yes, you beat me to it.

Answer 38

but you're forgetting the brackets :P

Answer 39

\((-2)^4 =... =16\)

Answer 40

omg i love you <3

Answer 41

I <3 you too ;)

Answer 42

thank you very much :D

Answer 43

bye for now :)

Answer 44

welcome ^_^