Question

How do you multiply and simplify `\frac { 8b ^ { 4} x ^ { 3} } { 15x } \cdot \frac { 3x } { 2b }`?

Answer 1

`(4)/5x^3b^3`

Explanation:

When multiplying expressions, we can simplify them by removing what appears in both the numerator and denominator.

We have `3x` in the numerator and `15x` in the denominator. So we cancel the `x` and also `3` with `15` since `15=5xx3` and we're left with `1/5`. We can also cancel `8b^4` with `2b` by reducing the power by one to `4b^3`.

Collecting all the terms together, we get `(8b^4x^3)/(15x) * (3x)/(2b)=(4)/5x^3b^3`