Algebra Examples

$(2 \cdot 10^{2}) (2 \cdot 10^{5})$

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

$(2 \cdot 2) (10^{2} \cdot 10^{5})$

Multiply $2$ by $2$ .

$4 (10^{2} \cdot 10^{5})$

Multiply $10^{2}$ by $10^{5}$ by adding the exponents.

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

$4 \cdot 10^{2 + 5}$

Add $2$ and $5$ .

$4 \cdot 10^{7}$