Algebra Examples

$\frac{8.4 x \cdot 10^{10}}{3 x \cdot 10^{7}}$

Step 1

Cancel the common factor of $x$ .

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Step 1.1

Cancel the common factor.

$\frac{8.4 x \cdot 10^{10}}{3 x \cdot 10^{7}}$

Step 1.2

Rewrite the expression.

$\frac{8.4 \cdot 10^{10}}{3 \cdot 10^{7}}$

Step 2

Cancel the common factor of $10^{10}$ and $10^{7}$ .

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Step 2.1

Factor $10^{7}$ out of $8.4 \cdot 10^{10}$ .

$\frac{10^{7} \cdot 8.4 \cdot 10^{3}}{3 \cdot 10^{7}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $10^{7}$ out of $3 \cdot 10^{7}$ .

$\frac{10^{7} \cdot 8.4 \cdot 10^{3}}{10^{7} \cdot 3}$

Step 2.2.2

Cancel the common factor.

$\frac{10^{7} \cdot 8.4 \cdot 10^{3}}{10^{7} \cdot 3}$

Step 2.2.3

Rewrite the expression.

$\frac{8.4 \cdot 10^{3}}{3}$

Step 3

Divide using scientific notation.

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Step 3.1

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

$(\frac{8.4}{3}) (\frac{10^{3}}{1})$

Step 3.2

Divide $8.4$ by $3$ .

$2.8 \frac{10^{3}}{1}$

Step 3.3

Divide $10^{3}$ by $1$ .

$2.8 \cdot 10^{3}$