Question

More rational exponent problems...

Answer 1

if c is not =0 simplify this equation

Answer 2

\[(2c^4-c^0)^-2\]

Answer 3

that is ^-2

Answer 4

i ended up with \[\frac{ 1 }{4c^8 }-1\]

Answer 5

which is one of the answer choices but its not the right one..what did i do wrong?

Answer 6

\[(2c^4-c^0)^{-2}\]distribute the \(\color{red}{-2}\)

Answer 7

i did but obviously i did it wrong

Answer 8

haha no no, whichever method you prefer.

Answer 9

2^-2=1/4

Answer 10

c^4 times ^-2=1/c^8

Answer 11

probably the -c^0 i did an error somewhere..

Answer 12

\[(2c^4-c^0)^{-2} \implies \frac{1}{(2c^4-c^0)^2}\]

Answer 13

2 ways you can do this.

1. \((2c^4-c^0)^{2} = (2c^4 -c^0)(2c^4-c^0)\)

2. \((2c^4-c^0)^{2} = (2c^4)^2 - (c^0)^2\)

Answer 14

i pretty much did it the 2nd way or attempted the 2nd way

Answer 15

Let's do it both.

Answer 16

start with the 2nd :D

Answer 17

Im just going to show you how to simplify the expression, you should now know that this expression is positive because it is in the denominator.

Answer 18

Like @Nnesha mentioned earlier :P

Answer 19

alright.

Answer 20

2c4^2=4c^8?

Answer 21

Good.

Answer 22

now is it -(c^0)^2?

Answer 23

yes

Answer 24

is that just -1?

Answer 25

Good, yep

Answer 26

4c^8-1?

Answer 27

Yep.

Answer 28

So you would have \[\frac{1}{4c^8 -1}\]

Answer 29

not an answer for some reason.

Answer 30

Do you have answer choices?

Answer 31

The answer only comes if you foil (2c^4-c^0)

Answer 32

that's weird..huh..

Answer 33

Let's see.

Answer 34

(2c^4−c^0)2=(2c^4)2−(c^0)2

Answer 35

i don't think that is possible?

Answer 36

because wouldn't that be like

(5+5)^2=100

5^2+5^2=50?

Answer 37

\[(2c^4-c^0)^{2} = (2c^4 -c^0)(2c^4-c^0) = 4c^8 -(2c^4\cdot c^0)-(2c^4 \cdot c^0)+1\]

Answer 38

4c^8-4c^4+1

Answer 39

that is the correct answer.

Answer 40

i guess i have to foil it

Answer 41

well to be specific

1 over 4c^8-4c^4+1

Answer 42

is the answer

Answer 43

Yeah, that makes sense... because you don't want to have negative exponents in yoru answer.

Answer 44

\[4c^8 -(2c^4\cdot c^0)-(2c^4 \cdot c^0)+1 = 4c^8 -2c^{4-0} -2c^{4-0} +1 = 4c^8 -4c^4+1\]

Answer 45

yess.


thank you :)