Simplify the expression. Assume that all variables represent nonzero integers.
-$x ^ { ( 6 + 6 a ) } \cdot x^{ ( 8 a + 6 )}$
A) $x ^ { 2 a + 12}$
B) $x ^ { 2 a + 6}$
C) $x ^ { - 2 a }$
D) $x ^ { 14 a + 12 }$

Question

Simplify the expression. Assume that all variables represent nonzero integers.
-$x ^ { ( 6 + 6 a ) } \cdot x^{ ( 8 a + 6 )}$
A) $x ^ { 2 a  + 12}$
B) $x ^ { 2 a  + 6}$
C) $x ^ { - 2 a }$
D) $x ^ { 14 a + 12 }$

Quizplus · Accepted Answer

When multiplying expressions with the same base, you add the exponents: $x^{6+6a} \cdot x^{8a+6} = x^{(6+6a)+(8a+6)} = x^{14a+12}$.

Simplify the Expression x(6+6a)⋅x(8a+6)x ^ { ( 6 + 6 a ) } \cdot x^{ ( 8 a + 6 )}x(6+6a)⋅x(8a+6)

Simplify the Expression $x ^ { ( 6 + 6 a ) } \cdot x^{ ( 8 a + 6 )}$