Question

How do you simplify things dealing with the laws of exponents, such as -3g^-2hk^-2/-6h^0

Answer 1

idk sorry

Answer 2

@pooja195 Would u know how to do this?

Answer 3

\[\large\rm \frac{-3g^{-2}h k^{-2}}{-6h^0}\]Simplify this?

Answer 4

This will be the most important rule that we can apply.
\[\large\rm x^{-a}\quad=\frac{1}{x^a},\qquad\qquad\qquad \frac{1}{x^{-b}}\quad=\frac{x^b}{1}\]
These give us ways to deal with negative exponents.
The first one is the one we can make use of.

Answer 5

\[\large\rm \frac{-3\color{orangered}{g^{-2}}h k^{-2}}{-6h^0}\]Let's see what happens to the g's,\[\large\rm \frac{-3h k^{-2}}{-6h^0\color{orangered}{g^{2}}}\]The exponent changes from negative to positive, and changes from numerator to denominator.
We could put a 1 in it's place in the numerator,
but notice that that's not necessary since other stuff is up there.

Answer 6

Another important trick: \(\large\rm x^0=1\)
If our base is being raised to the 0 power, we end up with a 1.

Answer 7

Awesome! Thanks @zepdrix !