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: $\frac{1}{-2}$ | $\frac{a^{-1}}{a x a^{12} }$ | $\frac{b^{4}}{b^{-6}}$

Simplify: $\frac{1}{-2}$ | $\frac{1}{a^{14}}$ | $\frac{b^{10}}{1}$

Answer: $\frac{b^{10}}{-2a^{14}}$

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

Answer: 2uv¹⁵