Understand and Use Rational Exponents
-$\frac { 50 x ^ { 3 / 2 } } { 10 x ^ { 1 / 3 } }$
A) $5 x ^ { 7 / 6 }$
B) $5 x ^ { 1 / 3 }$
C) $40 \mathrm { x } ^ { 1 / 3 }$
D) $5 x ^ { 7 / 2 }$

Question

Quizplus · Accepted Answer

To simplify $\frac { 50 x ^ { 3 / 2 } } { 10 x ^ { 1 / 3 } }$, first divide the coefficients: $50 \div 10 = 5$. Then, subtract the exponents of $x$: $3/2 - 1/3 = 9/6 - 2/6 = 7/6$. Thus, the simplified expression is $5x^{7/6}$.

Understand and Use Rational Exponents - 50x3/210x1/3\frac { 50 x ^ { 3 / 2 } } { 10 x ^ { 1 / 3 } }10x1/350x3/2​

Understand and Use Rational Exponents
- $\frac { 50 x ^ { 3 / 2 } } { 10 x ^ { 1 / 3 } }$