Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0.
-$x ^ { 8 t } \cdot x ^ { 7 t } \cdot x ^ { 9 t + 2 }$
A) $x ^ { 504 t + 2 }$
B) $t x ^ { 24 t } + 2$
C) $t ^ { 504 t + 2 }$
D) $x ^ { 24 t + 2 }$

Question

Quizplus · Accepted Answer

When multiplying expressions with the same base, you add the exponents. So, $x^{8t} \cdot x^{7t} \cdot x^{9t+2} = x^{8t+7t+9t+2} = x^{24t+2}$.

Simplify Assume That Variables in the Exponent Represent Nonzero Integers x8t⋅x7t⋅x9t+2x ^ { 8 t } \cdot x ^ { 7 t } \cdot x ^ { 9 t + 2 }x8t⋅x7t⋅x9t+2

Simplify Assume That Variables in the Exponent Represent Nonzero Integers $x ^ { 8 t } \cdot x ^ { 7 t } \cdot x ^ { 9 t + 2 }$