Simplify the Expression: 6^x × 6^a × 6^b Using Exponent Rules

Question

Reduce the following equation

$6^x\times6^a\times6^b=$

00:00 Simplify the following problem

00:03 According to the laws of exponents, the multiplication of powers with equal bases (A)

00:08 equals the same base raised to the sum of the exponents (N+M)

00:11 We will apply this formula to our exercise

00:14 We'll maintain the base and add together the exponents

00:25 This is the solution

To solve this problem, we'll simplify the given equation using the rules of exponents:

Identify that all terms in the product $6^x \times 6^a \times 6^b$ have the same base, which is 6.
Apply the exponent multiplication rule: When multiplying powers with the same base, we add the exponents together. Therefore, the expression becomes $6^{x+a+b}$ .

By applying this exponent rule, we determine that the simplified expression is $6^{x+a+b}$ .

Therefore, the solution to the problem is $6^{x+a+b}$ .

$6^{x+a+b}$