Solve 3^4 × 3^x: Multiplying Powers with Same Base

Question

$3^4\times3^x=$

00:00 Simplify the following problem

00:04 According to the laws of exponents, the multiplication of exponents with equal bases (A)

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

00:10 We'll apply this formula to our exercise

00:13 We'll maintain the base and add the exponents together

00:16 This is the solution

To solve this problem, we'll apply the exponent rule for multiplying powers with the same base.

Step 1: Identify the base. The base for both terms is 3.
Step 2: Apply the multiplication of powers rule. According to the rule, when multiplying powers with the same base, we add their exponents: $3^4 \times 3^x = 3^{4+x}$ .
Step 3: Write down the simplified form of the expression. The simplified expression of $3^4 \times 3^x$ is: $3^{4+x}$

Therefore, the solution to the expression $3^4 \times 3^x$ simplifies to $3^{4+x}$ .

Hence, the correct choice is $3^{4+x}$ , matching answer choice 1.

$3^{4+x}$