Perform the indicated operations. $\frac { \left( 2 \times 10 ^ { - 4 } \right) \left( 6 \times 10 ^ { - 9 } \right) } { \left( 3 \times 10 ^ { - 3 } \right) \left( 4 \times 10 ^ { 5 } \right) }$
A) $10 ^ { - 16 }$
B) $- 3.4 \times 10 ^ { 21 }$
C) $10 ^ { 15 }$
D) $5.2 \times 10 ^ { 21 }$
E) $10 ^ { - 15 }$

Question

Quizplus · Accepted Answer

- First, we can simplify the numerator:  
$$ (2 	imes 10^{-4})(6 	imes 10^{-9}) = 12 	imes 10^{-13} = 1.2 	imes 10^{-12} $$

- Next, we can simplify the denominator:  
$$ (3 	imes 10^{-3})(4 	imes 10^{5}) = 12 	imes 10^{2} = 1200 $$

- Putting it back into the original expression:  
$$ \frac{(1.2 	imes 10^{-12})}{1200} = 1 	imes 10^{-15} = 10^{-15} $$

Therefore, the best choice is E.

Perform the Indicated Operations A) 10−1610 ^ { - 16 }10−16

Perform the Indicated Operations A) $10 ^ { - 16 }$