Basic Math Examples

$\frac{2}{3} \cdot \frac{10^{10}}{10^{8}}$

Step 1

Combine.

$\frac{2 \cdot 10^{10}}{3 \cdot 10^{8}}$

Step 2

Divide using scientific notation.

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Step 2.1

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

$(\frac{2}{3}) (\frac{10^{10}}{10^{8}})$

Step 2.2

Divide $2$ by $3$ .

$0.\overline{6} \frac{10^{10}}{10^{8}}$

Step 2.3

Subtract the exponent from the denominator from the exponent of the numerator for the same base

$0.\overline{6} \cdot 10^{10 + 8 \cdot - 1}$

Step 2.4

Multiply $8$ by $- 1$ .

$0.\overline{6} \cdot 10^{10 - 8}$

Step 2.5

Subtract $8$ from $10$ .

$0.\overline{6} \cdot 10^{2}$

Step 3

Move the decimal point in $0.\overline{6}$ to the right by $1$ place and decrease the power of $10^{2}$ by $1$ .

$6.\overline{6} \cdot 10^{1}$

Step 4

The result can be shown in multiple forms.

Scientific Notation:

$6.\overline{6} \cdot 10^{1}$

Expanded Form:

$66.\overline{6}$