Simplify the expression. Express final results without using zero or negative integers as exponents. ( 3 x ⁴ y ^-5 ) ^-4 A) $\frac { y ^ { 20 } } { 81 x ^ { 16 } }$ B) $\frac { 81 x ^ { 16 } } { y ^ { 20 } }$ C) $81 y ^ { 20 } x ^ { 16 }$

Question

Quizplus · Accepted Answer

When simplifying the expression, apply the power of a power rule: $(a^m)^n = a^{m \cdot n}$. This gives $3^{-4} x^{-16} y^{20}$. Rewrite with positive exponents: $\frac{y^{20}}{3^4 x^{16}}$, which simplifies to $\frac{y^{20}}{81 x^{16}}$.

Simplify the Expression y2081x16\frac { y ^ { 20 } } { 81 x ^ { 16 } }81x16y20​

Simplify the Expression $\frac { y ^ { 20 } } { 81 x ^ { 16 } }$