Evaluate (1.810^24)÷6.0210^24

$1.8 \cdot 10^{24} \div 6.02 \cdot 10^{24}$

Step 1

Divide using scientific notation.

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

$(\frac{1.8}{6.02}) (\frac{10^{24}}{1}) \cdot 10^{24}$

Divide $1.8$ by $6.02$ .

$0.29900332 \frac{10^{24}}{1} \cdot 10^{24}$

Divide $10^{24}$ by $1$ .

$0.29900332 \cdot 10^{24} \cdot 10^{24}$

Step 2

Multiply $10^{24}$ by $10^{24}$ by adding the exponents.

Move $10^{24}$ .

$0.29900332 \cdot (10^{24} \cdot 10^{24})$

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

$0.29900332 \cdot 10^{24 + 24}$

Add $24$ and $24$ .

$0.29900332 \cdot 10^{48}$

Step 3

Move the decimal point in $0.29900332$ to the right by $1$ place and decrease the power of $10^{48}$ by $1$ .

$2.99003322 \cdot 10^{47}$

Evaluate (1.8*10^24)÷6.02*10^24