Solve (7×4×6×3)⁴: Product of Numbers Raised to Fourth Power

You could do that mathematically, but it creates much larger numbers to work with! $504^4$ is a huge calculation, while $7^4\cdot4^4\cdot6^4\cdot3^4$ keeps the numbers manageable and shows the power distribution rule clearly.

No! The power distribution rule $(a\cdot b)^n = a^n\cdot b^n$ only works with multiplication. For addition like $(a+b)^n$, you need to use binomial expansion or other methods.

Use the power of a power rule! If you have $(x^2\cdot y^3)^4$, it becomes $x^{2\cdot4}\cdot y^{3\cdot4} = x^8\cdot y^{12}$. Multiply the exponents together.

Think of it as sharing equally! When factors are multiplied inside parentheses, the outside exponent gets shared with each factor. It's like giving everyone the same number of copies.

Yes! Count the factors inside the parentheses. You should have the same number of terms in your final answer, each with the same exponent. Here: 4 factors become 4 terms with exponent 4.