Question

I forgot how to solve these. Please help.

Answer 1

This is the answer for both number 9 and number 11.
Good luck

Answer 2

First, lets review the shortcut rules:

multiplication means add the exponents

division means subtract the exponents

raised to a power means multiply the exponents.

negative exponents means to flip the fraction (move to the other side of the fraction bar)

9) First, I am going to distribute "-3" to "
`a^(-4)`b²" = a¹²
`b^(-6)`

I like to group like terms together, simplify, and then put them together:

Like terms:
`(1)/(-2)` |
`(a^(-1))/(a x a^(12) )` |
`(b^(4))/(b^(-6))`

Simplify:
`(1)/(-2)` |
`(1)/(a^(14))` |
`(b^(10))/(1)`

Answer:
`(b^(10))/(-2a^(14))`

Now try #10 on your own and check your answer below:

Answer: 2uv¹⁵