Question

What is the value of the expression (–3)4?



A.


–12


B.


–81


C.
81


D.
12

Answer 1

@theEric

Answer 2

Hi! Just for your future reference, a lot of people on the internet (not even just OpenStudy) type that as (-3)^4, where the "^" indicates "to the power of."
And, if you put it in `\( \)` on OpenStudy, it does this!
\((-3)^4\)

Any way, I'll teach you a good way to think about it. I mean, you can just put it in a calculator. But there's really a pattern.

Consider \((-1)\). That is \((-1)^1\). What about \((-1)^2\)?
\(-1\dot\ -1=1\)
Actually, any even power will have the negatives cancel like that.

So, \((-3)^4\) will be positive. It will be \(3^4\).

Answer 3

thanks

Answer 4

\((-1)=-1\\
(-1)(-1)=1\\
(-1)(-1)(-1)=-1\\
(-1)(-1)(-1)(-1)=1\\
(-1)(-1)(-1)(-1)(-1)=-1\)

Answer 5

Anything to the zero equals 1, so \((-1)^0=1\), too.

Answer 6

i think its 12

Answer 7

but not really sure

Answer 8

It is 12! :)

Answer 9

\((-3)^4=3^4\)
However.... Watch out. Odd powers will stay odd!
Example:\(\quad(-3)^3=-(3^3)\)

Answer 10

thank you

Answer 11

You're welcome!

Answer 12

Take care!