Perform the indicated operations using the laws of exponents. Express the result using positive exponents. $\left( \frac { 10 ^ { 9 } \cdot 10 ^ { - 4 } } { 10 ^ { - 4 } } \right) ^ { 2 }$
A) $\frac { 1 } { 10 ^ { 2 } }$
B) $10 ^ { 2 }$
C) $10 ^ { 18 }$
D) $\frac { 1 } { 10 ^ { 18 } }$
E) $\frac { 1 } { 10 ^ { 6 } }$

Question

Quizplus · Accepted Answer

First, simplify the expression inside the parentheses: $10^{9} \cdot 10^{-4} = 10^{5}$. Then, divide by $10^{-4}$: $10^{5} / 10^{-4} = 10^{9}$. Finally, raise to the power of 2: $(10^{9})^{2} = 10^{18}$.

Perform the Indicated Operations Using the Laws of Exponents (109⋅10−410−4)2\left( \frac { 10 ^ { 9 } \cdot 10 ^ { - 4 } } { 10 ^ { - 4 } } \right) ^ { 2 }(10−4109⋅10−4​)2

Perform the Indicated Operations Using the Laws of Exponents $\left( \frac { 10 ^ { 9 } \cdot 10 ^ { - 4 } } { 10 ^ { - 4 } } \right) ^ { 2 }$