simplify

Question

z^2 y^6/z^3 y^5

Answer 1

To simplify this expression, divide the coefficients and subtract the exponents with the same bases:

z^2 y^6 / z^3 y^5

First, divide the coefficients: there are no coefficients here to divide, so we can move on to the exponents.

Next, subtract the exponents with the same base:

For z, the numerator has an exponent of 2 and the denominator has an exponent of 3, so the simplified expression for z is z^2 - 3 = z^(-1).

Similarly, for y, the numerator has an exponent of 6 and the denominator has an exponent of 5, so the simplified expression for y is y^6 - 5 = y.

Therefore, the simplified expression is:

z^(-1) * y = y / z