Question

Simplify the expression so there is only one positive power for each base. (5^-2 x 4^-4)^-2

Answer 1

Explanation:

`(5^(-2)` ×
`4^(-4)`
`)^(-2)`

=
`(5^(-2)`
`)^(-2)` x
`(4^(-4))^(-2)` ∴
`(a.b)^(n) =a^(n) .b^(n)`

=
`5^(-2.-2)` x
`4^(-4 . -2)` ∴
`(a^(n) )^(m)` =
`a^(nm)` // here m is an exponent of
`a^(n)`.

=
`5^(4)` x
`4^(8)`