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Question

# Perform the indicated operation. Write your answer in scientific notation. $\left( 5.1 \times 10 ^ { 8 } \right) \times \left( 3.2 \times 10 ^ { 5 } \right)$

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Solution to this example is given below

\begin{align*} &(5.1\cdot3.2)\cdot(10^{8}\cdot10^{5})&&\boxed{\text{Commutative and associative of properties}}\\ &(5.1\cdot3.2)\cdot10^{8+5}&&\boxed{\text{Add exponents when multiplying powers}}\\ &(5.1\cdot3.2)\cdot10^{13}&&\boxed{\text{Simplify exponents}}\\ &16.32\cdot10^{13}&&\boxed{\text{Multiply the numbers: }5.1\cdot3.2=16.32}\\ &1.632\cdot10^1\cdot10^{13}&&\boxed{\text{Write 16.32 in scientific notation}}\\ &1.632\cdot10^{14}&&\boxed{\text{Add exponents}}\\\\ &\boxed{{\color{#c34632}1.632\cdot10^{14}} }&&\boxed{\text{Final solution}}\\ \end{align*}

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