Basic Math Examples

$\frac{(9 \cdot 10^{4}) (4 \cdot 10^{12})}{(3 \cdot 10^{6}) (2 \cdot 10^{2})}$

Step 1

Multiply $9$ by $4$ .

$\frac{36 (10^{4} \cdot 10^{12})}{(3 \cdot 10^{6}) (2 \cdot 10^{2})}$

Step 2

Multiply $10^{4}$ by $10^{12}$ by adding the exponents.

Tap for more steps...

Step 2.1

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

$\frac{36 \cdot 10^{4 + 12}}{(3 \cdot 10^{6}) (2 \cdot 10^{2})}$

Step 2.2

Add $4$ and $12$ .

$\frac{36 \cdot 10^{16}}{(3 \cdot 10^{6}) (2 \cdot 10^{2})}$

Step 3

Multiply $3$ by $2$ .

$\frac{36 \cdot 10^{16}}{6 (10^{6} \cdot 10^{2})}$

Step 4

Multiply $10^{6}$ by $10^{2}$ by adding the exponents.

Tap for more steps...

Step 4.1

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

$\frac{36 \cdot 10^{16}}{6 \cdot 10^{6 + 2}}$

Step 4.2

Add $6$ and $2$ .

$\frac{36 \cdot 10^{16}}{6 \cdot 10^{8}}$

Step 5

Divide using scientific notation.

Tap for more steps...

Step 5.1

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

$(\frac{36}{6}) (\frac{10^{16}}{10^{8}})$

Step 5.2

Divide $36$ by $6$ .

$6 \frac{10^{16}}{10^{8}}$

Step 5.3

Subtract the exponent from the denominator from the exponent of the numerator for the same base

$6 \cdot 10^{16 + 8 \cdot - 1}$

Step 5.4

Multiply $8$ by $- 1$ .

$6 \cdot 10^{16 - 8}$

Step 5.5

Subtract $8$ from $16$ .

$6 \cdot 10^{8}$

Step 6

The result can be shown in multiple forms.

Scientific Notation:

$6 \cdot 10^{8}$

Expanded Form:

$600000000$