Basic Math Examples

$\frac{1.25 (10^{5}) \cdot (4.3 (10^{- 3}))}{1.53 (10^{- 2})}$

Step 1

Multiply $10^{5}$ by $10^{- 3}$ by adding the exponents.

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Step 1.1

Move $10^{- 3}$ .

$\frac{1.25 (10^{- 3} \cdot 10^{5}) \cdot 4.3}{1.53 (10^{- 2})}$

Step 1.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{1.25 \cdot 10^{- 3 + 5} \cdot 4.3}{1.53 (10^{- 2})}$

Step 1.3

Add $- 3$ and $5$ .

$\frac{1.25 \cdot 10^{2} \cdot 4.3}{1.53 (10^{- 2})}$

Step 2

Move $10^{- 2}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{1.25 \cdot 10^{2} \cdot 4.3 \cdot 10^{2}}{1.53}$

Step 3

Multiply $10^{2}$ by $10^{2}$ by adding the exponents.

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Step 3.1

Move $10^{2}$ .

$\frac{1.25 \cdot (10^{2} \cdot 10^{2}) \cdot 4.3}{1.53}$

Step 3.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{1.25 \cdot 10^{2 + 2} \cdot 4.3}{1.53}$

Step 3.3

Add $2$ and $2$ .

$\frac{1.25 \cdot 10^{4} \cdot 4.3}{1.53}$

Step 4

Multiply $4.3$ by $1.25$ .

$\frac{5.375 \cdot 10^{4}}{1.53}$

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.

$(\frac{5.375}{1.53}) (\frac{10^{4}}{1})$

Step 5.2

Divide $5.375$ by $1.53$ .

$3.51307189 \frac{10^{4}}{1}$

Step 5.3

Divide $10^{4}$ by $1$ .

$3.51307189 \cdot 10^{4}$

Step 6

The result can be shown in multiple forms.

Scientific Notation:

$3.51307189 \cdot 10^{4}$

Expanded Form:

$35130.71895424$