Simplify the expression. Write your answer with positive exponents only. $\frac { z ^ { 2 } y ^ { 6 } } { y ^ { - 6 } z ^ { 9 } }$
A) $\frac { 1 } { z ^ { 7 } y ^ { 12 } }$
B) $\frac { y ^ { 12 } } { z ^ { 7 } }$
C) $\frac { 1 } { z ^ { 7 } }$
D) $z ^ { 7 } y ^ { 6 }$

Question

Quizplus · Accepted Answer

To simplify the expression, use the laws of exponents. For the numerator and denominator with the same base, subtract the exponents when dividing: $z^2 / z^9 = z^{2-9} = z^{-7}$ and $y^6 / y^{-6} = y^{6-(-6)} = y^{12}$. Thus, the simplified expression is $y^{12} / z^7$.

Simplify the Expression z2y6y−6z9\frac { z ^ { 2 } y ^ { 6 } } { y ^ { - 6 } z ^ { 9 } }y−6z9z2y6​

Simplify the Expression $\frac { z ^ { 2 } y ^ { 6 } } { y ^ { - 6 } z ^ { 9 } }$