Evaluate Using Scientific Notation (31.0210^26)/(210^5)

$\frac{31.02 \cdot 10^{26}}{2 \cdot 10^{5}}$

Step 1

Divide using scientific notation.

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

$(\frac{31.02}{2}) (\frac{10^{26}}{10^{5}})$

Divide $31.02$ by $2$ .

$15.51 \frac{10^{26}}{10^{5}}$

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

$15.51 \cdot 10^{26 + 5 \cdot - 1}$

Multiply $5$ by $- 1$ .

$15.51 \cdot 10^{26 - 5}$

Subtract $5$ from $26$ .

$15.51 \cdot 10^{21}$

Step 2

Move the decimal point in $15.51$ to the left by $1$ place and increase the power of $10^{21}$ by $1$ .

$1.551 \cdot 10^{22}$

Evaluate Using Scientific Notation (31.02*10^26)/(2*10^5)