Evaluate (9.310^7)÷310^4

$9.3 \cdot 10^{7} \div 3 \cdot 10^{4}$

Step 1

Divide using scientific notation.

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

$(\frac{9.3}{3}) (\frac{10^{7}}{1}) \cdot 10^{4}$

Divide $9.3$ by $3$ .

$3.1 \frac{10^{7}}{1} \cdot 10^{4}$

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

$3.1 \cdot 10^{7} \cdot 10^{4}$

Step 2

Multiply $10^{7}$ by $10^{4}$ by adding the exponents.

Move $10^{4}$ .

$3.1 \cdot (10^{4} \cdot 10^{7})$

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

$3.1 \cdot 10^{4 + 7}$

Add $4$ and $7$ .

$3.1 \cdot 10^{11}$

Step 3

The result can be shown in multiple forms.

Scientific Notation:

$3.1 \cdot 10^{11}$

Expanded Form:

$310000000000$

Evaluate (9.3*10^7)÷3*10^4