Simplify the numerical expression. $$10 ^ { 4 } \cdot 10 ^ { - 5 }$$
A)1,000
B) $\frac { 1 } { 100 }$
C) $\frac { 1 } { 1,000 }$
D) $\frac { 1 } { 10 }$
E)10

Name: Simplify the numerical expression. \[10 ^ { 4 } \cdot 10 ^ { - 5 }\] A)1,000 B) $\frac { 1 } { 100 }$ C) $\frac { 1 } { 1,000 }$ D) $\frac { 1 } { 10 }$ E)10
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Quizplus · Accepted Answer

When multiplying powers with the same base, you add the exponents. Here, $10^4 \cdot 10^{-5} = 10^{4-5} = 10^{-1}$, which equals $\frac{1}{10}$.

Simplify the Numerical Expression 104⋅10−510 ^ { 4 } \cdot 10 ^ { - 5 }104⋅10−5

Simplify the Numerical Expression $10 ^ { 4 } \cdot 10 ^ { - 5 }$