Question

Which expression is equivalent to (1/16)^-4?

The answer choices are
A) (-16)^4
B) 16^4
C) 4 square root 1/16
D) -(1/16)^-4

Answer 1

`\large\boxed{B)\ 16^4}`

Explanation:

`\text{Use}\ a^(-n)=\left((1)/(a)\right)^n\\\\\left((1)/(16)\right)^(-4)=\left((16)/(1)\right)^4=16^4`

Answer 2

Answer: Option B.
`16^4` is the correct answer.

Explanation: Since, Given expression is
`(1/16)^-4`

And, we can write
`((1)/(16))^(-4)= 1^(-4)/16^(-4)=1/16^(-4)`

since, we know that,
`a^m=1/a^-m`

similarly, we can write,
`1/16^(-4)=(1)/(1/16^4) =16^4`.( because, we can write,
`(a)/(b/c) =(ac)/(b)`.)

hence
`(1/16)^-4=16^4` is correct.