To find which expression is equivalent to gh5, we start by substituting the given functions into the expression.
We know that:
- hx = x^7
- gx = x^2
Now, to find gh5, we need to evaluate g(5) and h(g(5)).
First, let’s calculate g(5):
g(5) = 5^2 = 25.
Next, we need to find h(g(5)), which is h(25):
h(25) = 25^7.
Therefore, the expression gh5 is equivalent to 25^7.
In conclusion, the expression equivalent to gh5 is 25^7.