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

To solve the question, we apply the rule of exponents known as the Power of a Product. The formula states that for any real numbers $a$ and $b$, and an integer $n$:

• $(a \times b)^n = a^n \times b^n$

Given the expression $(2 \times 4)^{10}$, we can identify:

• $a = 2$
• $b = 4$
• $n = 10$

Now, applying the formula:

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

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