Simplify the Expression: 7^(x+a) × 7^a × 7^x

Question

Reduce the following equation:

7x+a×7a×7x= 7^{x+a}\times7^a\times7^x=

Video Solution

Solution Steps

00:00 Simplify the following problem
00:04 According to the laws of exponents, the multiplication of exponents with equal bases (A)
00:08 equals the same base raised to the sum of the exponents (N+M)
00:13 We will apply this formula to our exercise
00:17 We'll maintain the base and add the exponents together
00:44 Let's group the factors together
00:47 This is the solution

Answer

72x+2a 7^{2x+2a}