Basic Math Examples

$6.4 \cdot 10^{- 7} \div 8 \cdot 10^{6}$

Step 1

Divide using scientific notation.

Tap for more steps...

Step 1.1

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

$(\frac{6.4}{8}) (\frac{10^{- 7}}{1}) \cdot 10^{6}$

Step 1.2

Divide $6.4$ by $8$ .

$0.8 \frac{10^{- 7}}{1} \cdot 10^{6}$

Step 1.3

Divide $10^{- 7}$ by $1$ .

$0.8 \cdot 10^{- 7} \cdot 10^{6}$

Step 2

Multiply $10^{- 7}$ by $10^{6}$ by adding the exponents.

Tap for more steps...

Step 2.1

Move $10^{6}$ .

$0.8 \cdot (10^{6} \cdot 10^{- 7})$

Step 2.2

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

$0.8 \cdot 10^{6 - 7}$

Step 2.3

Subtract $7$ from $6$ .

$0.8 \cdot 10^{- 1}$

Step 3

Move the decimal point in $0.8$ to the right by $1$ place and decrease the power of $10^{- 1}$ by $1$ .

$8 \cdot 10^{- 2}$

Step 4

The result can be shown in multiple forms.

Scientific Notation:

$8 \cdot 10^{- 2}$

Expanded Form:

$0.08$