# How do I simplify and find the product of 5d^2r and 3d xx 4d^3?

Jul 21, 2017

Add the indices of any like bases.

#### Explanation:

To multiply in algebra you simply ADD the exponents of the same variables.

$5 {d}^{2} r$ cannot be simplified on its own.

$3 d \times 4 {d}^{3} = 12 {d}^{4}$

If these two expressions were meant to be multiplied together the product would be:

$5 {d}^{2} r \times 12 {d}^{4} = 60 {d}^{6} r$