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

Expand the following equation:

$6^{3+2}=$

Video Solution

Solution Steps

00:00 Simplify the following problem

00:03 According to the laws of exponents, the multiplication of exponents with the same base (A)

00:07 equals the same base raised to the sum of the exponents (N+M)

00:11 We'll apply this formula to our exercise, in the reverse direction

00:15 We'll break it down into the product of the appropriate exponents

00:20 This is the solution

Step-by-Step Solution

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 $6^3 \times 6^2$ .