Perform the indicated calculation. Express your answer using scientific notation.
-$$\left( 3 \times 10 ^ { 5 } \right) \left( 7 \times 10 ^ { 8 } \right)$$
A) $21 \times 10 ^ { 14 }$
B) $2.1 \times 10 ^ { 14 }$
C) $2.1 \times 10^{13}$
D) $21 \times 10 ^ { 40 }$

Question

Quizplus · Accepted Answer

To multiply numbers in scientific notation, we multiply the coefficients and add the exponents. Therefore, $(3 	imes 10^5)(7 	imes 10^8) = (3 \cdot 7) 	imes 10^{5+8} = 21 	imes 10^{13} = 2.1 	imes 10^{14}$. The correct answer is B.

Perform the Indicated Calculation (3×105)(7×108)\left( 3 \times 10 ^ { 5 } \right) \left( 7 \times 10 ^ { 8 } \right)(3×105)(7×108)

Perform the Indicated Calculation $\left( 3 \times 10 ^ { 5 } \right) \left( 7 \times 10 ^ { 8 } \right)$