Evaluate Using Scientific Notation (5*10^3)(2.1*10^5)

$(5 \cdot 10^{3}) (2.1 \cdot 10^{5})$

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

$(5 \cdot 2.1) (10^{3} \cdot 10^{5})$

Multiply $5$ by $2.1$ .

$10.5 (10^{3} \cdot 10^{5})$

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

$10.5 \cdot 10^{3 + 5}$

Add $3$ and $5$ .

$10.5 \cdot 10^{8}$

Write $10.5 \cdot 10^{8}$ in proper scientific notation.

$1.05 \cdot 10^{9}$

Evaluate Using Scientific Notation (5*10^3)(2.1*10^5)

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