Question

Write using only positive exponents.
36x^-4y^2z^0/5x^2y^-3z^-2

Answer 1

There is the problem and the A B C are the options of answers :)

Answer 2

\(\bf a^{-{\color{red} n}} = \cfrac{1}{a^{\color{red} n}}\qquad a^{{\color{red} n}} = \cfrac{1}{a^{-{\color{red} n}}}\\ \quad \\ \quad \\

\cfrac{36x^{-4}y^2z^0}{5x^2y^{-3}z^{-2}}\implies
\cfrac{36}{5x^2}\cdot \cfrac{x^{-4}}{1}\cdot \cfrac{1}{y^{-3}}\cdot \cfrac{1}{z^{-2}}\cdot \cfrac{z^0}{1}\)

Answer 3

keep in mind that anything raised to 0, is 1, except for 0 itself, so \(\bf z^0 = 1\)

Answer 4

\(\bf \cfrac{36x^{-4}y^2z^0}{5x^2y^{-3}z^{-2}}\implies
\cfrac{36}{5x^2}\cdot \cfrac{x^{-4}}{1}\cdot \cfrac{1}{y^{-3}}\cdot \cfrac{1}{z^{-2}}\cdot \cfrac{z^0}{1}\\ \quad \\

\cfrac{36}{5x^2}\cdot \cfrac{1}{{\color{red}{ \square ?}}}\cdot {\color{red}{ \square ?}}\cdot {\color{red}{ \square ?}}\cdot \cfrac{z^0}{1}\)

Answer 5

I got A. thank you so much!

Answer 6

yw