If f(x)=(x8)2, what is f(−4)?(1 point)

Question

f(−4)=

Answer 1

To find \( f(-4) \) for the function \( f(x) = (x^8)^2 \), we first substitute \( -4 \) into the function.

1. Calculate \( (-4)^8 \): \[ (-4)^8 = 65536 \] (Since raising to an even power results in a positive value.)

2. Now square \( 65536 \): \[ f(-4) = (65536)^2 \]

3. Calculate \( 65536^2 \): \[ 65536^2 = 4294967296 \]

Thus, \[ f(-4) = 4294967296 \]

So the final answer is: \[ \boxed{4294967296} \]