Expand the Expression: 6^(3+2) Using Exponent Rules

You're actually right that $6^{3+2} = 6^5$! But the question asks you to expand the expression, which means showing it as $6^3 \times 6^2$ using the exponent rule.

Expanding means breaking apart using rules like $a^{m+n} = a^m \times a^n$. Simplifying means calculating the final number. Here, expanding gives $6^3 \times 6^2$, while simplifying gives 7776.

Use $a^{m+n} = a^m \times a^n$ whenever you see addition in the exponent. It's especially helpful for expanding expressions or when you need to show your work step-by-step.

Yes! The rule works both ways: $a^m \times a^n = a^{m+n}$. This is useful when you want to combine terms with the same base instead of expanding them.

The rule still works! For example, $5^{2+(-1)} = 5^2 \times 5^{-1}$. Just remember that $a^{-n} = \frac{1}{a^n}$ when dealing with negative exponents.