Evaluate Using Scientific Notation (4*10^4)(2*10^2)

$(4 \cdot 10^{4}) (2 \cdot 10^{2})$

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

$(4 \cdot 2) (10^{4} \cdot 10^{2})$

Multiply $4$ by $2$ .

$8 (10^{4} \cdot 10^{2})$

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

$8 \cdot 10^{4 + 2}$

Add $4$ and $2$ .

$8 \cdot 10^{6}$

Evaluate Using Scientific Notation (4*10^4)(2*10^2)

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