Perform the indicated operations using the laws of exponents. Express the result using positive exponents. $10 ^ { 2 } \cdot 10 ^ { - 6 } \cdot 10 ^ { - 6 }$
A) $102$
B) $10 ^ { 10 }$
C) $\frac { 1 } { 10 ^ { 14 } }$
D) $\frac { 1 } { 10 ^ { 10 } }$
E) $10 ^ { 14 }$

Question

Quizplus · Accepted Answer

Using the product rule of exponents, we can simplify the expression to $10^{-6+(-6)+2}=10^{-10}$. Expressing this with positive exponents gives us $\frac{1}{10^{10}}$. Therefore, the answer is D.

Perform the Indicated Operations Using the Laws of Exponents 102⋅10−6⋅10−610 ^ { 2 } \cdot 10 ^ { - 6 } \cdot 10 ^ { - 6 }102⋅10−6⋅10−6

Perform the Indicated Operations Using the Laws of Exponents $10 ^ { 2 } \cdot 10 ^ { - 6 } \cdot 10 ^ { - 6 }$