Evaluate Using Scientific Notation (4.2*10^6)(3.1*10^11)

$(4.2 \cdot 10^{6}) (3.1 \cdot 10^{11})$

Group coefficients together and exponents together to multiply numbers in scientific notation.

$(4.2 \cdot 3.1) (10^{6} \cdot 10^{11})$

Multiply $4.2$ by $3.1$ .

$13.02 (10^{6} \cdot 10^{11})$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$13.02 \cdot 10^{6 + 11}$

Add $6$ and $11$ .

$13.02 \cdot 10^{17}$

Write $13.02 \cdot 10^{17}$ in proper scientific notation.

$1.302 \cdot 10^{18}$

Evaluate Using Scientific Notation (4.2*10^6)(3.1*10^11)

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