Solve (5·x·3)³: Step-by-Step Cube Power Calculation

The parentheses mean everything inside gets raised to the power! If you only cube the 3, you're ignoring the power rule completely and will get the wrong answer.

It's easier to multiply the constants first: 5 × 3 = 15, then apply the exponent to get $(15x)^3 = 15^3 \cdot x^3$. Both methods work, but this way is cleaner!

$(5x)^3 = 5^3 \cdot x^3 = 125x^3$ because the exponent applies to both. But $5x^3$ means only x is cubed, so you get $5 \cdot x^3$. Parentheses make all the difference!

Count your factors! In $(5 \cdot x \cdot 3)^3$, you have 3 factors, so your final answer should have 3 factors each raised to the 3rd power: $5^3 \cdot x^3 \cdot 3^3$.

You can do either! $15^3 = 3375$, so both $15^3x^3$ and $3375x^3$ are correct. Choose based on what your teacher prefers.