Basic Math Examples

\frac{(38000 \cdot 10^{3}) (300 \cdot 10^{- 4})}{0.00019 \cdot 10^{- 5}}

$\frac{(38000 \cdot 10^{3}) (300 \cdot 10^{- 4})}{0.00019 \cdot 10^{- 5}}$

Step 1

Multiply

$38000$ by

$300$ .

$\frac{11400000 (10^{3} \cdot 10^{- 4})}{0.00019 \cdot 10^{- 5}}$

Step 2

Multiply

$10^{3}$ by

$10^{- 4}$ by adding the exponents.

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Step 2.1

Use the power rule

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{11400000 \cdot 10^{3 - 4}}{0.00019 \cdot 10^{- 5}}$

Step 2.2

Subtract

$4$ from

$3$ .

$\frac{11400000 \cdot 10^{- 1}}{0.00019 \cdot 10^{- 5}}$

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.

$(\frac{11400000}{0.00019}) (\frac{10^{- 1}}{10^{- 5}})$

Step 3.2

Divide

$11400000$ by

$0.00019$ .

$60000000000 \frac{10^{- 1}}{10^{- 5}}$

Step 3.3

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

$60000000000 \cdot 10^{- 1 - 5 \cdot - 1}$

Step 3.4

Multiply

$- 5$ by

$- 1$ .

$60000000000 \cdot 10^{- 1 + 5}$

Step 3.5

Add

$- 1$ and

$5$ .

$60000000000 \cdot 10^{4}$

Step 4

Move the decimal point in

$60000000000$ to the left by

$10$ places and increase the power of

$10^{4}$ by

$10$ .

$6 \cdot 10^{14}$

Step 5

The result can be shown in multiple forms.

Scientific Notation:

$6 \cdot 10^{14}$

Expanded Form:

$600000000000000$