HELP PLEASE!:) I GIVE MEDALS :)

What value of N solves the equation?

3^N = 1/81

A.
–243

B.
–27

C.
–4

D.
4

Question

HELP PLEASE!:) I GIVE MEDALS :)

What value of N solves the equation?

3^N = 1/81

A.
	–243
	
 
B.
	–27
	
 
C.
	–4
	
 
D.
	4

anonymous · Answer

plug in each value, use a calculator.

anonymous · Answer

plug in -4... what do you get @macabbey101 ?

macabbey101 · Answer

its not working for me :/ its just giving me a bunch of numbers..

macabbey101 · Answer

is it D?

anonymous · Answer

$$3\ ^{-4}=?$$

anonymous · Answer

$$3^{-4}=\frac{ 1 }{ 81 }$$

anonymous · Answer

so what is you're answer?

anonymous · Answer

c.

anonymous · Answer

Review your exponent laws.  You have to understand what a negative exponent means.  
Also you have to recognize (or use trial and error) to see that 81 is 3 to the exponent 4.

anonymous · Answer

$$3^n  = \frac{ 1 }{ 81 } = \frac{ 1 }{ 3^{4} } = 3^{-4}    $$

anonymous · Answer

So n = -4     which is answer c.