Evaluate Using Scientific Notation (7.3110^25)÷6.0210^23

$7.31 \cdot 10^{25} \div 6.02 \cdot 10^{23}$

Step 1

Divide using scientific notation.

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

$(\frac{7.31}{6.02}) (\frac{10^{25}}{1}) \cdot 10^{23}$

Divide $7.31$ by $6.02$ .

$1.2\overline{142857} \frac{10^{25}}{1} \cdot 10^{23}$

Divide $10^{25}$ by $1$ .

$1.2\overline{142857} \cdot 10^{25} \cdot 10^{23}$

Step 2

Multiply $10^{25}$ by $10^{23}$ by adding the exponents.

Move $10^{23}$ .

$1.2\overline{142857} \cdot (10^{23} \cdot 10^{25})$

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

$1.2\overline{142857} \cdot 10^{23 + 25}$

Add $23$ and $25$ .

$1.2\overline{142857} \cdot 10^{48}$

Evaluate Using Scientific Notation (7.31*10^25)÷6.02*10^23