Simplify the Expression: 9^(2a) × 9^(2x) × 9^a with Multiple Exponents

Question

Reduce the following equation :

92a×92x×9a= 9^{2a}\times9^{2x}\times9^a=

Video Solution

Solution Steps

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 the exponents together
00:28 Let's group the terms together
00:34 This is the solution

Answer

93a+2x 9^{3a+2x}