Calculate (2×4)^10: Evaluating Powers with Parentheses

To solve the question, we need to apply the power of a product exponent rule. The formula states that for any real numbers $a$ and $b$, and any integer$n$:

• $(a \times b)^n = a^n \times b^n$

Looking at our expression, we can see that:

• $a = 2$

• $b = 4$

• $n = 10$

Now, if we apply the formula:

• $(2 \times 4)^{10} = 2^{10} \times 4^{10}$

Therefore, the expression $(2 \times 4)^{10}$ is equivalent to $2^{10} \times 4^{10}$.