Basic Math Examples

$\frac{(1.257 \cdot 10^{- 6}) \cdot 650^{2} \cdot 0.0005}{0.12}$

Step 1

Move $10^{- 6}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1.257 \cdot 650^{2} \cdot 0.0005}{0.12 \cdot 10^{6}}$

Step 2

Simplify the numerator.

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Step 2.1

Multiply $1.257$ by $650^{2}$ .

$\frac{531082.5 \cdot 0.0005}{0.12 \cdot 10^{6}}$

Step 2.2

Multiply $531082.5$ by $0.0005$ .

$\frac{265.54125}{0.12 \cdot 10^{6}}$

Step 3

Move the decimal point in $0.12$ to the right by $1$ place and decrease the power of $10^{6}$ by $1$ .

$\frac{265.54125}{1.2 \cdot 10^{5}}$

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.

$(\frac{265.54125}{1.2}) (\frac{1}{10^{5}})$

Step 4.2

Divide $265.54125$ by $1.2$ .

$221.284375 \frac{1}{10^{5}}$

Step 4.3

Move $10^{5}$ to the numerator using the negative exponent rule $\frac{1}{b^{n}} = b^{- n}$ .

$221.284375 \cdot 10^{- 5}$

Step 5

Move the decimal point in $221.284375$ to the left by $2$ places and increase the power of $10^{- 5}$ by $2$ .

$2.21284375 \cdot 10^{- 3}$

Step 6

The result can be shown in multiple forms.

Scientific Notation:

$2.21284375 \cdot 10^{- 3}$

Expanded Form:

$0.00221284$