Solve (a×b×8)²: Square of a Triple Product Expression

The power rule for products states that $(xy)^n = x^n y^n$. When you square a product, the exponent distributes to each factor inside the parentheses!

The rule works for any number of factors! For example, $(a \cdot b \cdot c \cdot d)^3 = a^3 \cdot b^3 \cdot c^3 \cdot d^3$. Every factor gets the exponent.

Not necessarily! You can leave it as $a^2 \cdot b^2 \cdot 8^2$ or simplify to $a^2 \cdot b^2 \cdot 64$. Both forms are mathematically correct.

$(ab)^2 = a^2b^2$ squares both factors, while $a^2b$ only squares the first. The parentheses matter - they tell you to apply the exponent to everything inside!

Think: "The exponent is greedy - it wants to attach to everything inside the parentheses!" Or remember: parentheses first, then distribute the power to each factor.