Perform the indicated operations using the laws of exponents. Express the result using positive exponents. $10 ^ { - 6 } \cdot 10 ^ { - 4 } \cdot 10 ^ { 3 }$
A) $10 ^ { 72 }$
B) $\frac { 1 } { 10 ^ { 7 } }$
C) $\frac { 1 } { 10 ^ { 13 } }$
D) $10 ^ { 13 }$
E) $10 ^ { 7 }$

Question

Quizplus · Accepted Answer

When multiplying powers with the same base, you add the exponents: $-6 + (-4) + 3 = -7$, resulting in $10^{-7}$, which is $\frac{1}{10^7}$.

Perform the Indicated Operations Using the Laws of Exponents 10−6⋅10−4⋅10310 ^ { - 6 } \cdot 10 ^ { - 4 } \cdot 10 ^ { 3 }10−6⋅10−4⋅103

Perform the Indicated Operations Using the Laws of Exponents $10 ^ { - 6 } \cdot 10 ^ { - 4 } \cdot 10 ^ { 3 }$