Basic Math Examples

$(3 \cdot 10^{2}) (2.6 \cdot 10^{- 3}) \div 6 \cdot 10^{3}$

Step 1

Multiply $3$ by $2.6$ .

$7.8 (10^{2} \cdot 10^{- 3}) \div 6 \cdot 10^{3}$

Step 2

Multiply $10^{2}$ by $10^{- 3}$ 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.

$7.8 \cdot 10^{2 - 3} \div 6 \cdot 10^{3}$

Step 2.2

Subtract $3$ from $2$ .

$7.8 \cdot 10^{- 1} \div 6 \cdot 10^{3}$

Step 3

Divide using scientific notation.

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Step 3.1

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

$(\frac{7.8}{6}) (\frac{10^{- 1}}{1}) \cdot 10^{3}$

Step 3.2

Divide $7.8$ by $6$ .

$1.3 \frac{10^{- 1}}{1} \cdot 10^{3}$

Step 3.3

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

$1.3 \cdot 10^{- 1} \cdot 10^{3}$

Step 4

Multiply $10^{- 1}$ by $10^{3}$ by adding the exponents.

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Step 4.1

Move $10^{3}$ .

$1.3 \cdot (10^{3} \cdot 10^{- 1})$

Step 4.2

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

$1.3 \cdot 10^{3 - 1}$

Step 4.3

Subtract $1$ from $3$ .

$1.3 \cdot 10^{2}$

Step 5

The result can be shown in multiple forms.

Scientific Notation:

$1.3 \cdot 10^{2}$

Expanded Form:

$130$