Algebra Examples

$(5.1 \times 10^{5}) \times (9.7 \times 10^{5})$

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

$(5.1 \cdot 9.7) (10^{5} \cdot 10^{5})$

Multiply $5.1$ by $9.7$ .

$49.47 (10^{5} \cdot 10^{5})$

Multiply $10^{5}$ 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.

$49.47 \cdot 10^{5 + 5}$

Add $5$ and $5$ .

$49.47 \cdot 10^{10}$

Write $49.47 \cdot 10^{10}$ in proper scientific notation.

$4.947 \cdot 10^{11}$