Question

Simplify (-2q^4/7) ^4

Answer 1

(-2q^4/7)^4 simplified is
16q^16/2401

Answer 2

`(-2q^{(4)/(7) }) ^(4) =16q^{(16)/(7) }`

Explanation:

We will use in this case the property of "power of a power"

`(a^(m) )^(n) =a^(m*n)`

So, in this case we have:

`a=-2q;    m=(4)/(7) ;    n=4`

If we substitute

`(-2q^{(4)/(7) } )^(4)  = 16q^{(4)/(7)*4 }= 16q^{(16)/(7) }`