SOLUTION: (1/8)to the negative fourth power?

Question 322986: (1/8)to the negative fourth power?
Answer by jessica43(140) (Show Source): You can put this solution on YOUR website!
To solve this you need to use one of the basic rules of exponents:
x^(-n) = 1/(x^n) (where n is any number)
So in this problem:
x^(-n) = 1/(x^n)
(1/8)^(-4) =
1/((1/8)^4)=
= 1/(1/4096)
Dividing by (1/4096) is the same as multiplying by the reciprocal (4096/1). So:
1/(1/4096)=
1*(4096/1) =
4096
So the answer is 4096.
RELATED QUESTIONS
how do you simplify (8x) to the third power times 8 to the negative fourth... (answered by MathLover1)

how do i answer this: -1/4 to the -3 power (negative one fourth to the negative three... (answered by mananth)

What is 9 to the negative fourth power (answered by stanbon)

What is 7 to the negative fourth... (answered by Theo)

Please help me solve this equation: 4x squared to the negative second power. (4x^2)^-2. (answered by Edwin McCravy,Alan3354)

What does 7.8903^10 to the negative one equals What does 4.4296^10 to the third... (answered by josmiceli)

3 to the third power divided by 3 to the negative fourth power (answered by Edwin McCravy)

How would you solve x to the negative third power times x to the negative fourth... (answered by Fombitz)

3.77*10 to the fourth power 8.5*10 to the third power 9.002*10 to the negative... (answered by MathLover1)