Respuesta :

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

Answer:

[tex](-2q^{\frac{4}{7} }) ^{4} =16q^{\frac{16}{7} }[/tex]

Step-by-step explanation:

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

[tex](a^{m} )^{n} =a^{m*n}[/tex]

So, in this case we have:

[tex]a=-2q;    m=\frac{4}{7} ;    n=4[/tex]

If we substitute

[tex](-2q^{\frac{4}{7} } )^{4}  = 16q^{\frac{4}{7}*4 }= 16q^{\frac{16}{7} }[/tex]