fully simplify using only positive exponents {2x^{8}y^{2}}{8x^{8}y^{7}}

Answer 1

To simplify the expression {2x^{8}y^{2}}{8x^{8}y^{7}}, we can combine the terms with the same base and subtract the exponents:

2/8 * x^8/x^8 * y^2/y^7

Simplifying further:

1/4 * 1 * y^{2-7}

1/4 * y^{-5}

Final answer: (1/4)y^{-5} or (1/4)y^5