Question

How do you simplify `(2b^4)^-1` and write it using only positive exponents?

Answer 1

`1/(2b^4)`

Explanation:

`(2b^4)^-1`

`:.(a^color(red)m)^color(green)n=a^(color(red)m xx color(green)n)`

`:.2^(1 xx -1)b^(4 xx -1)`

`:.2^-1b^-4`

`:.1/(2^1b^4)`

`:.1/(2b^4)`