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

Expand the following equation:

$6^{3+2}=$

Let's solve this problem step-by-step using the rules of exponents:

• Step 1: Identify the expression. We are given $6^{3+2}$.

• Step 2: Apply the exponent rule $a^{m+n} = a^m \times a^n$. This allows us to split the addition in the exponent into separate multiplicative terms.

• Step 3: Break down the exponent addition $3+2$ into: $6^3 \times 6^2$.

By applying the rules of exponents, the expression $6^{3+2}$ can be expanded to:
$6^3 \times 6^2$

Therefore, the expanded form of the expression is $6^3 \times 6^2$.