When you have a negative exponent, you need to move it to the other side of the fraction to make the exponent positive.
For example:
[tex]\frac{x^{-2} }{1}[/tex] or [tex]x^{-2}=\frac{1}{x^2}[/tex]
[tex]\frac{1}{y^{-2} } =\frac{y^2}{1}[/tex] or y²
1. [tex](5^{-1}) (3^{-2} )=\frac{1}{(5^1)(3^2)} =\frac{1}{(5)(9)}=\frac{1}{45}[/tex] You first make the exponent positive
Your answer is B
2. [tex]\frac{mn^{-4} }{p^0q^{-2} }[/tex] Make all the exponents positive [the exponent -4 is only the exponent for n, so you only need to move n]
[tex]\frac{mq^2}{p^0n^4}[/tex] There is a rule where when the exponent is 0, the result will always = 1, so p^0 = 1
[tex]\frac{mq^2}{n^4}[/tex]
Your answer is A
