Calculate the Cube Power: (25×4)³ Step-by-Step Solution

To solve this problem, we will apply the "power of a product" rule, which states that if you have a product raised to a power, each factor of the product is raised to that power. We have:

$\left(25 \times 4\right)^3 = 25^3 \times 4^3$

Using the commutative property of multiplication, this can alternatively be written as:

$4^3 \times 25^3$

Additionally, observing that $25 \times 4 = 100$, we also have:

$(100)^3$

Thus, all the given choices:

• $25^3 \times 4^3$
• $4^3 \times 25^3$
• $\left(100\right)^3$

are equivalent expressions for the given problem based on the power of a product and basic arithmetic simplification.

Therefore, the correct answer is All answers are correct.