Simplify the Expression: 10^(a+b) × 10^(a+1) × 10^(b+1)

Question

Reduce the following equation:

$10^{a+b}\times10^{a+1}\times10^{b+1}=$

00:00 Simply

00:03 According to exponent laws, multiplication of exponents with the same base (A)

00:06 equals the same base raised to the sum of the exponents (N+M)

00:10 We'll use this formula in our exercise

00:14 We'll keep the base and add the exponents

00:31 Let's group the factors

00:48 And this is the solution to the question

$10^{2b+2a+2}$