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

Simplify the following equation:

$12\times12^2=$

Video Solution

Solution Steps

00:00 Simplify the following problem

00:03 Any number raised to the power of 1 is always equal to itself

00:07 Let's insert this into our exercise

00:11 According to the power laws, the multiplication of powers with an equal base (A)

00:14 equals the same base raised to the sum of the powers (N+M)

00:17 We will apply this formula to our exercise

00:21 We'll add up the powers and raise to the following power

00:25 This is the solution

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.