Use the properties of exponents to simplify the expression. Write with positive exponents.
-$\frac { x ^ { - 2 / 7 } \cdot x ^ { 4 / 5 } } { x ^ { 1 / 6 } }$
A) $\frac { 1 } { x ^ { 143 / 210 } }$
B) $\mathrm { x } ^ { 73 / 210 }$
C) $x ^ { 143 / 210 }$
D) $\frac { 1 } { x ^ { 73 / 210 } }$

Question

Quizplus · Accepted Answer

To simplify the expression, use the properties of exponents: $\frac{x^a \cdot x^b}{x^c} = x^{a+b-c}$. First, find a common denominator for the fractions (-2/7, 4/5, 1/6) which is 210. Convert the exponents: $-2/7 = -60/210$, $4/5 = 168/210$, $1/6 = 35/210$. Then, $-60/210 + 168/210 - 35/210 = 73/210$. Thus, the simplified expression is $x^{73/210}$.

Use the Properties of Exponents to Simplify the Expression x−2/7⋅x4/5x1/6\frac { x ^ { - 2 / 7 } \cdot x ^ { 4 / 5 } } { x ^ { 1 / 6 } }x1/6x−2/7⋅x4/5​

Use the Properties of Exponents to Simplify the Expression $\frac { x ^ { - 2 / 7 } \cdot x ^ { 4 / 5 } } { x ^ { 1 / 6 } }$