Question

Simplify 24x5y2z10 / 16x3y z5 Show your work.

Answer 1

3/2 x^2 y z^5

Explanation:

24x^5y^2z^10 / 16x^3y z^5

split into pieces

24/16 * x^5/x^3 y^2/y z^10/z^5

when dividing exponents with the same bases, we subtract the exponents

3/2 x^(5-3) y^(2-1) z^(10-5)

3/2 x^2 y^1 z^5

Answer 2

3/2 x^2 y z^5

Explanation:

24x^5y^2z^10 / 16x^3y z^5

split into pieces

24/16 * x^5/x^3 y^2/y z^10/z^5

when dividing exponents with the same bases, we subtract the exponents

3/2 x^(5-3) y^(2-1) z^(10-5)

3/2 x^2 y^1 z^5