Simplify the expression. Assume all variables represent nonzero real numbers.
-$\left( 8 a ^ { 5 } \right) \cdot \left( 2 a ^ { 8 } \right)$

A) $16 a ^{40}$
B) $16 a ^ { 13 }$
C) $10 ^ { 13 }$
D)$ 10^{40}$

Question

Simplify the expression. Assume all variables represent nonzero real numbers.
-$\left( 8 a ^ { 5 } \right) \cdot \left( 2 a ^ { 8 } \right)$

A) $16 a ^{40}$
B) $16 a ^ { 13 }$
C) $10 ^ { 13 }$
D)$ 10^{40}$

Quizplus · Accepted Answer

When multiplying powers with the same base, you add the exponents. Thus, $8a^5 \cdot 2a^8 = 16a^{5+8} = 16a^{13}$.

Simplify the Expression (8a5)⋅(2a8)\left( 8 a ^ { 5 } \right) \cdot \left( 2 a ^ { 8 } \right)(8a5)⋅(2a8)