Basic Math Examples

$\frac{(2.25 \cdot 10^{- 3}) (4 \cdot 10^{6})}{1 \cdot 10 - 1}$

Step 1

Multiply $2.25$ by $4$ .

$\frac{9 (10^{- 3} \cdot 10^{6})}{1 \cdot 10 - 1}$

Step 2

Multiply $10^{- 3}$ by $10^{6}$ 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.

$\frac{9 \cdot 10^{- 3 + 6}}{1 \cdot 10 - 1}$

Step 2.2

Add $- 3$ and $6$ .

$\frac{9 \cdot 10^{3}}{1 \cdot 10 - 1}$

Step 3

Simplify the denominator.

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Step 3.1

Multiply $10$ by $1$ .

$\frac{9 \cdot 10^{3}}{10 - 1}$

Step 3.2

Subtract $1$ from $10$ .

$\frac{9 \cdot 10^{3}}{9}$

Step 4

Divide using scientific notation.

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Step 4.1

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

$(\frac{9}{9}) (\frac{10^{3}}{1})$

Step 4.2

Divide $9$ by $9$ .

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

Step 4.3

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

$1 \cdot 10^{3}$

Step 5

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

$10^{3}$

Step 6

Raise $10$ to the power of $3$ .

$1000$