Simplify Powers of 5: Reducing 5^a × 5^2a × 5^3a

Question

Reduce the following equation:

$5^a\times5^{2a}\times5^{3a}=$

00:00 Simply

00:04 According to the laws of exponents, multiplying exponents with the same base (A)

00:08 equals the same base raised to the sum of the exponents (N+M)

00:11 We'll use this formula in our exercise

00:15 We'll keep the base and add the exponents

00:28 And this is the solution to the question

$5^{a+2a+3a}$