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 Simply
00:04 According to the laws of exponents, multiplication of exponents with equal base (A)
00:08 equals the same base raised to the sum of the exponents (N+M)
00:13 We will use this formula in our exercise
00:17 We'll keep the base and sum the exponents
00:44 Let's group the factors
00:47 And this is the solution to the question

Answer

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