Multiply or divide and write scientific notation for the result.
-$\left( 10.2 \times 10 ^ { 7 } \right) \div \left( 3 \times 10 ^ { 1 } \right)$
A) $6.8 \times 10 ^ { 8 }$
B) $6.8 \times 10 ^ { 6 }$
C) $3.40 \times 10 ^ { 6 }$
D) $3.40 \times 10 ^ { 8 }$

Question

Quizplus · Accepted Answer

When dividing exponential terms with the same base, we subtract their exponents. Thus, 
$$\left( 10.2 	imes 10 ^ { 7 } ight) \div \left( 3 	imes 10 ^ { 1 } ight) = \left( 10.2 \div 3 ight) 	imes 10 ^ { 7-1 } = 3.4 	imes 10 ^6$$
Therefore, the correct answer is choice C, which is $3.40 	imes 10 ^ {6}$.

Multiply or Divide and Write Scientific Notation for the Result (10.2×107)÷(3×101)\left( 10.2 \times 10 ^ { 7 } \right) \div \left( 3 \times 10 ^ { 1 } \right)(10.2×107)÷(3×101)

Multiply or Divide and Write Scientific Notation for the Result $\left( 10.2 \times 10 ^ { 7 } \right) \div \left( 3 \times 10 ^ { 1 } \right)$