Simplify. Express final results using positive exponents only. $\left( 7 x ^ { \frac { 1 } { 8 } } \right) \left( 6 x ^ { \frac { 7 } { 8 } } \right)$
A) $42 x ^ { \frac { 1 } { 8 } }$
B) $7 x$
C) $42 x$
D) $42 x ^ { 2 }$

Question

Quizplus · Accepted Answer

When multiplying variables with exponents, you add the exponents if the base is the same. Therefore, $\left( 7 x ^ { \frac { 1 } { 8 } } \right) \left( 6 x ^ { \frac { 7 } { 8 } } \right) = 42 x ^ { \frac{1}{8}+\frac{7}{8}} = 42 x ^ 1 = 42x$.

Simplify Express Final Results Using Positive Exponents Only (7x18)(6x78)\left( 7 x ^ { \frac { 1 } { 8 } } \right) \left( 6 x ^ { \frac { 7 } { 8 } } \right)(7x81​)(6x87​)

Simplify Express Final Results Using Positive Exponents Only $\left( 7 x ^ { \frac { 1 } { 8 } } \right) \left( 6 x ^ { \frac { 7 } { 8 } } \right)$