Reduce the Expression: 8^(3x) × 8^(3y) × 8^(2y+x)

Question

Reduce the following equation:

83x×83y×82y+x= 8^{3x}\times8^{3y}\times8^{2y+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)
00:12 We will use this formula in our exercise
00:16 We'll keep the base and add the exponents
00:36 Let's group the factors
00:41 And this is the solution to the question

Answer

84x+5y 8^{4x+5y}