Solve (y×7×3)⁴: Finding the Fourth Power of a Product

Because of the power rule: $(abc)^n = a^n \cdot b^n \cdot c^n$. When factors are multiplied inside parentheses, the exponent distributes to each one!

It doesn't matter! The power rule works the same way. Both numbers (like 7 and 3) and variables (like y) get the exponent applied to them equally.

For $7^4$, multiply: $7 \times 7 \times 7 \times 7 = 2401$. But in algebra problems, you can often leave it as $7^4$ unless asked to simplify.

No! $y^4 \times 7^4 \times 3^4$ is the same as $7^4 \times 3^4 \times y^4$. Multiplication is commutative, so you can write the factors in any order.

Yes! Since both have the same exponent, you can write: $7^4 \times 3^4 = (7 \times 3)^4 = 21^4$. So the final answer could also be $y^4 \times 21^4$.