Question

Simplify the following:

`(x^3y^4z^2)/(x^2y^-1z^3)`

Answer 1

Given: `(x^3y^4z^2)/(x^2y^-1z^3)`

Step-wise calculation:

1. Apply the quotient rule for exponents:

`a^m/a^n = a^(m - n)` to each variable.

x^{3 – 2} × y^{4 – (–1)} × z^{2 – 3}

2. Simplify the exponents:

x¹ × y^{4 + 1} × z^–1

3. Write the simplified expression:

xy⁵z^–1

Optionally, write with only positive exponents by putting the negative exponent as a denominator:

`(xy^5)/z`