Simplify and write with positive exponents only.
-$3 ^ { 3 } \cdot 3 ^ { - 4 }$
A) 2187
B) -3
C)$\frac { 1 } { 3 }$
D) -$\frac { 1 } { 3 }$

Name: Simplify and write with positive exponents only. -$3 ^ { 3 } \cdot 3 ^ { - 4 }$ A) 2187 B) -3 C)$\frac { 1 } { 3 }$ D) -$\frac { 1 } { 3 }$
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Question

Simplify and write with positive exponents only.
-$3 ^ { 3 } \cdot 3 ^ { - 4 }$
A) 2187
B)  -3 
C)$\frac { 1 } { 3 }$
D)  -$\frac { 1 } { 3 }$

Quizplus · Accepted Answer

When multiplying powers with the same base, you add the exponents: $3^3 \cdot 3^{-4} = 3^{3-4} = 3^{-1}$, which simplifies to $\frac{1}{3}$.

Simplify and Write with Positive Exponents Only 33⋅3−43 ^ { 3 } \cdot 3 ^ { - 4 }33⋅3−4

Simplify and Write with Positive Exponents Only $3 ^ { 3 } \cdot 3 ^ { - 4 }$