Simplify the Exponential Expression: 5^(2x) × 5^x

Question

Reduce the following equation:

52x×5x= 5^{2x}\times5^x=

Video Solution

Solution Steps

00:00 Simply
00:03 According to the laws of exponents, multiplication of powers with equal base (A)
00:11 equals the same base raised to the sum of the exponents (N+M)
00:15 Let's use this formula in our exercise
00:19 We'll keep the base and sum the exponents
00:23 And this is the solution to the question

Answer

52x+x 5^{2x+x}