Question

How do you multiply `c^ { 9} d ^ { - 2} \cdot c d ^ { 9}`?

Answer 1

See the entire solution process below:

Explanation:

First, rewrite this expression as:

`(c^9 * c)(d^-2 * d9)`

Now, use these two rules for exponents to multiply the terms:

`a = a^color(blue)(1)` and `x^color(red)(a) xx x^color(blue)(b) = x^(color(red)(a) + color(blue)(b))`

`(c^color(red)(9) * c^color(blue)(1))(d^color(red)(-2) * d^color(blue)(9)) = c^(color(red)(9) + color(blue)(1))d^(color(red)(-2) + color(blue)(9)) = c^10d^7`