Simplify the following expression. Do not use parentheses or negative exponents. $7 ^ { - 2 } \cdot 7 ^ { 3 } \cdot 7 ^ { - 4 }$
A)-343
B) $7 ^ { 3 }$
C) $\frac { 1 } { 343 }$
D) $- \frac { 1 } { 343 }$
E)343

Question

Quizplus · Accepted Answer

When multiplying powers with the same base, we add their exponents. Therefore, $7^{-2} \cdot 7^3 \cdot 7^{-4} = 7^{-2+3-4} = 7^{-3}$. To simplify further, we can rewrite $7^{-3}$ as $\frac{1}{7^3}$. Therefore, the answer is $\frac{1}{343}$.

Simplify the Following Expression 7−2⋅73⋅7−47 ^ { - 2 } \cdot 7 ^ { 3 } \cdot 7 ^ { - 4 }7−2⋅73⋅7−4

Simplify the Following Expression $7 ^ { - 2 } \cdot 7 ^ { 3 } \cdot 7 ^ { - 4 }$