Question

How do you multiply and simplify `6x ^ { 4} \cdot \frac { 7x ^ { 5} } { 2}`?

Answer 1

See a solution process below:

Explanation:

First, rewrite the expression as:

`(6 * 7/2)(x^4 * x^5) => (42/2)(x^4 * x^5) => 21(x^4 * x^5)`

Now, use this rule of exponents to complete the problem:

`x^color(red)(a) xx x^color(blue)(b) = x^(color(red)(a) + color(blue)(b))`

`21(x^color(red)(4) * x^color(blue)(5)) => 21x^(color(red)(4) + color(blue)(5)) => 21x^9`