Understand and Use Rational Exponents
-$$\left( 7 x ^ { 3 / 4 } \right) \left( 10 x ^ { 1 / 2 } \right)$$
A) $70 x ^ { 5 / 4 }$
B) $70 x ^ { 1 / 2 }$
C) $70 x ^ { 5 / 3 }$
D) $70 x ^ { 3 / 4 }$

Question

Quizplus · Accepted Answer

When multiplying expressions with the same base, you add the exponents. Here, $3/4 + 1/2 = 3/4 + 2/4 = 5/4$. The coefficients 7 and 10 multiply to give 70, resulting in $70x^{5/4}$.

Understand and Use Rational Exponents - (7x3/4)(10x1/2)\left( 7 x ^ { 3 / 4 } \right) \left( 10 x ^ { 1 / 2 } \right)(7x3/4)(10x1/2)

Understand and Use Rational Exponents
- $\left( 7 x ^ { 3 / 4 } \right) \left( 10 x ^ { 1 / 2 } \right)$