Basic Math Examples

$\frac{8.99 \cdot 10^{9} \cdot 15 \cdot 10^{- 6}}{{(0.02)}^{2}}$

Step 1

Multiply $8.99$ by $15$ .

$\frac{134.85 (10^{9} \cdot 10^{- 6})}{{(0.02)}^{2}}$

Step 2

Multiply $10^{9}$ 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.

$\frac{134.85 \cdot 10^{9 - 6}}{{(0.02)}^{2}}$

Step 2.2

Subtract $6$ from $9$ .

$\frac{134.85 \cdot 10^{3}}{{(0.02)}^{2}}$

Step 3

Move the decimal point in $134.85$ to the left by $2$ places and increase the power of $10^{3}$ by $2$ .

$\frac{1.3485 \cdot 10^{5}}{{0.02}^{2}}$

Step 4

Raise $0.02$ to the power of $2$ .

$\frac{1.3485 \cdot 10^{5}}{0.0004}$

Step 5

Divide using scientific notation.

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Step 5.1

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

$(\frac{1.3485}{0.0004}) (\frac{10^{5}}{1})$

Step 5.2

Divide $1.3485$ by $0.0004$ .

$3371.25 \frac{10^{5}}{1}$

Step 5.3

Divide $10^{5}$ by $1$ .

$3371.25 \cdot 10^{5}$

Step 6

Move the decimal point in $3371.25$ to the left by $3$ places and increase the power of $10^{5}$ by $3$ .

$3.37125 \cdot 10^{8}$

Step 7

The result can be shown in multiple forms.

Scientific Notation:

$3.37125 \cdot 10^{8}$

Expanded Form:

$337125000$