Simplify the Expression: 12×12² Step-by-Step Solution

Simplify the following equation:

$12\times12^2=$

Video Solution

Solution Steps

00:05 Let's simplify this problem together.

00:09 Remember, any number to the power of one is just that number.

00:13 Let's use this rule in our exercise.

00:18 When you multiply powers with the same base, like A,

00:23 You keep the base and add the powers together, like N plus M.

00:28 We're going to apply this formula now.

00:32 So, we'll add the powers and raise it.

00:35 And that's how we solve this problem!

Step-by-Step Solution

To simplify the equation $12 \times 12^2$ , follow these steps:

Step 1: Recognize that 12 can be expressed as a power. Since $12 = 12^1$ , rewrite the equation as $12^1 \times 12^2$ .
Step 2: Apply the rule for multiplying powers with the same base, which states that $a^m \times a^n = a^{m+n}$ . In this case, this becomes $12^{1+2}$ .
Step 3: Simplify the expression by adding the exponents: $1 + 2 = 3$ .

Thus, the simplified form of the expression is $12^3$ .

Therefore, the correct answer choice is $12^{1+2}$ , which corresponds to choice 2.