Which expression is equivalent to -(x^-2)^-4

a) -1/x^8

b) 1/x^8

c) -x^8

d) x^8

Question

Which expression is equivalent to -(x^-2)^-4
	
a) -1/x^8
	
b) 1/x^8
	
c) -x^8
	
d) x^8

anonymous · Answer

c

mathslover · Answer

$$-(x^{-2})^{-4}$$
$$-(1/x^2)^{-4}$$
$$-(1^{-4})/(x^2*{-4})$$
$$-1/{x^{-8}}$$
$$x^8*-1$$
$$-x^8$$
c is the answer

anonymous · Answer

is (b)

mertsj · Answer

When you raise to a power, you multiply the exponents.  
$$-(x ^{-2})^{-4}=-(x^8)=-x^8$$

anonymous · Answer

That's what the law of negative exponents states @Mertsj. It's say that to make it positive you have to flip it.

anonymous · Answer

@mathslover the result will be like this$$-x^{-8} = -x ^{-8}$$

anonymous · Answer

so when it will go down the negative sign will change into positive
$$1 \over x ^{8}$$

mathslover · Answer

@izanagi.wielder  i dont think that u r going on right way ... 
- (x^-8) = -1/(-x^8)

mertsj · Answer

Stop being ridiculous.  The answer is -x^8

anonymous · Answer

sorry :]

anonymous · Answer

Oh and I mean to say that's not what the...

mertsj · Answer

$$-(x ^{-2})^{-4}=-(\frac{1}{x^2})^{-4}=-(x^2)^4=-x^8$$