Hi there!
The question here is asking us to simplify the expression [tex](-2q^ \frac{4}{7} )^4[/tex]. Well, we can first take care of the coefficient of the variable q, which is -2. -2 to the power of 4 is basically -2 × -2 × -2 × -2, and when simplified, it gives us 16. Next, we need to take care of the exponent inside the parenthesis. Using the power of a power property, we can multiply the fraction [tex] \frac{4}{7} [/tex] by 4, giving us 16/7. Therefore, the answer is [tex]16q ^\frac{16}{7} [/tex]. Hope this helped and have a great day!