Simplify the expression. Assume all variables represent nonzero real numbers.
-$\left( 2 a ^ { 7 } \right) \cdot \left( 5 a ^ { 2 } \right)$
A) $7 ^ { 9 }$
B) $10 a ^{14}$
C) $10 a ^ { 9 }$
D) $7 ^ { 14 }$

Question

Quizplus · Accepted Answer

When multiplying two powers that have the same base, you add the exponents. Thus, $2a^7 \cdot 5a^2 = 10a^{7+2} = 10a^9$.

Simplify the Expression (2a7)⋅(5a2)\left( 2 a ^ { 7 } \right) \cdot \left( 5 a ^ { 2 } \right)(2a7)⋅(5a2)

Simplify the Expression $\left( 2 a ^ { 7 } \right) \cdot \left( 5 a ^ { 2 } \right)$