Simplify the expression. Write the result using positive exponents only.
2
-$\frac { 5 ^ { - 8 } x ^ { - 2 } y ^ { 3 } } { 5 ^ { - 5 } x ^ { - 5 } y ^ { 6 } }$
A) $\frac { 3 x ^ { 3 } } { y ^ { 3 } }$
B) $\frac { 1 } { 125 x ^ { 5 } y ^ { 3 } }$
C) $\frac { x ^ { 3 } } { 125 y ^ { 3 } }$
D) $\frac { 125 } { x ^ { 3 } y ^ { 3 } }$

Question

Quizplus · Accepted Answer

To simplify the expression, use the properties of exponents. For the 5's, subtract the exponents: $5^{-8} / 5^{-5} = 5^{-8-(-5)} = 5^{-3}$. For the x's, do the same: $x^{-2} / x^{-5} = x^{-2-(-5)} = x^3$. For the y's: $y^3 / y^6 = y^{3-6} = y^{-3}$. Simplifying $5^{-3}$ gives $1/5^3 = 1/125$, so the expression simplifies to $\frac{x^3}{125y^3}$.

Simplify the Expression 5−8x−2y35−5x−5y6\frac { 5 ^ { - 8 } x ^ { - 2 } y ^ { 3 } } { 5 ^ { - 5 } x ^ { - 5 } y ^ { 6 } }5−5x−5y65−8x−2y3​

Simplify the Expression $\frac { 5 ^ { - 8 } x ^ { - 2 } y ^ { 3 } } { 5 ^ { - 5 } x ^ { - 5 } y ^ { 6 } }$