Calculate (4×7×3)²: Product of Three Numbers Squared

The exponent applies to the entire product inside parentheses! If you only square one factor, you're changing the mathematical meaning completely. Think of it like distributing: the $^2$ must reach every factor.

Yes! The power rule works for any number of factors. Whether you have $(a \cdot b)^2$ or $(a \cdot b \cdot c \cdot d \cdot e)^3$, just distribute the exponent to every single factor.

Absolutely! You can either:

• Multiply first: $(4 \times 7 \times 3)^2 = 84^2 = 7056$
• Or distribute first: $4^2 \times 7^2 \times 3^2 = 16 \times 49 \times 9 = 7056$

The same rule applies! $(4 \times 7 \times 3)^3 = 4^3 \times 7^3 \times 3^3$. Just distribute whatever exponent you have to every factor inside the parentheses.

Think of the exponent as a "copying machine" - it makes copies of itself for each factor. So $^2$ becomes three $^2$'s when there are three factors to distribute to!