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 Simplify the following problem

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

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

00:10 We'll apply this formula to our exercise

00:14 We'll maintain the base and add the exponents together

00:31 Let's group the factors together

00:48 This is the solution

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