Question

Which is equivalent to (2^-3)^4

1/2^12

2

-2^12

1/2^7

Answer 1

The answer is First option

1/2^12 .

`(1)/(2^(12) )`

Explanation:

Given:

(2^-3)^4

i.e

`(2^(-3) )^(4)`

To Find:

`(2^(-3) )^(4)=?`

Solution:

Law of Indices

`(x^(a)) ^(b) =x^(a* b)\\and\\x^(-1)=(1)/(x)`

Using the above Property we get

∴
`(2^(-3) )^(4)=2^(-3* 4) \\\\ (2^(-3) )^(4)=2^(-12) \\\\(2^(-3) )^(4)= (1)/(2^(12) )`

The answer is First option

1/2^12 .

`(2^(-3) )^(4)=(1)/(2^(12) )`