Finite Math Examples

$\frac{(1.25 \cdot 10^{5}) (3.5 \cdot 10^{- 5})}{1.69 \cdot 10^{- 3}}$

Step 1

Multiply $1.25$ by $3.5$ .

$\frac{4.375 (10^{5} \cdot 10^{- 5})}{1.69 \cdot 10^{- 3}}$

Step 2

Multiply $10^{5}$ by $10^{- 5}$ 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.

$\frac{4.375 \cdot 10^{5 - 5}}{1.69 \cdot 10^{- 3}}$

Step 2.2

Subtract $5$ from $5$ .

$\frac{4.375 \cdot 10^{0}}{1.69 \cdot 10^{- 3}}$

Step 3

Simplify $10^{0}$ .

$\frac{4.375 \cdot 1}{1.69 \cdot 10^{- 3}}$

Step 4

Move $10^{- 3}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{4.375 \cdot 10^{3}}{1.69}$

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.

$(\frac{4.375}{1.69}) (\frac{10^{3}}{1})$

Step 5.2

Divide $4.375$ by $1.69$ .

$2.58875739 \frac{10^{3}}{1}$

Step 5.3

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

$2.58875739 \cdot 10^{3}$

Step 6

The result can be shown in multiple forms.

Scientific Notation:

$2.58875739 \cdot 10^{3}$

Expanded Form:

$2588.75739644$