Evaluate (a·5·6·y)^5: Simplifying a Fifth Power Expression

The power rule states that when you raise a product to a power, each factor gets raised to that power. Think of $(a \cdot 30 \cdot y)^5$ as multiplying $(a \cdot 30 \cdot y)$ by itself 5 times!

For this type of problem, it's usually better to leave it as $30^5$. Calculating $30^5 = 24,300,000$ makes the answer unnecessarily complicated and harder to check.

The same rule applies! Just remember that odd powers keep the negative sign while even powers make it positive. For example: $(-2)^5 = -32$.

Yes! It's actually helpful to simplify inside the parentheses first. So $(a \cdot 5 \cdot 6 \cdot y)^5 = (a \cdot 30 \cdot y)^5$, then apply the power rule.

Make sure every factor inside the original parentheses has the exponent 5. Your final answer should have three separate terms: $a^5$, $30^5$, and $y^5$.