Question

1. $((-4)^3)^2$

Explanation:

Step1: Apply exponent power rule

Use the rule $(a^m)^n = a^{m \times n}$. Here, $a=-4$, $m=3$, $n=2$.
$$((-4)^3)^2 = (-4)^{3 \times 2} = (-4)^6$$

Step2: Calculate the final value

A negative number raised to an even power is positive.
$$(-4)^6 = 4^6 = 4096$$

Answer:

4096