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 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)
00:12 We will apply this formula to our exercise
00:16 We'll maintain the base and add the exponents together
00:36 Let's group the factors together
00:41 This is the solution

Answer

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