Question

FAN and MEDAL
27x^z/-3x^2z^

Answer 1

\[\frac{ 27x ^{2}z }{ -3x ^{2}z ^{4}}\]

Answer 2

help please

Answer 3

There is a really helpful math site that will give you basically all the answers. its https://www.mathway.com/ the answer should be \[-9/z ^{3}\]

Answer 4

To work with exponents, take the variable's larger exponent and subtract the smaller exponent for the corresponding variables:
\[\frac{ 27x ^{2} z }{ -3x ^{2} z ^{4} }\]\[\frac{ 27x ^{2-2} }{-3 z ^{4-1} }\]\[\frac{ -9 }{ z ^{3}}\]
For x^2, they canceled because they have the same value on top and bottom, 2-2=0; anything to the 0 power is 1, so remove x from the equation.
For z, the z^4 on the bottom is bigger than the z on the numerator, so the z on top is raised to the 1st power, subtract that from the power of 4, and you get z^3 on the denominator.