Evaluate Using Scientific Notation (1.910^27)÷610^24

$1.9 \cdot 10^{27} \div 6 \cdot 10^{24}$

Step 1

Divide using scientific notation.

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

$(\frac{1.9}{6}) (\frac{10^{27}}{1}) \cdot 10^{24}$

Divide $1.9$ by $6$ .

$0.31\overline{6} \frac{10^{27}}{1} \cdot 10^{24}$

Divide $10^{27}$ by $1$ .

$0.31\overline{6} \cdot 10^{27} \cdot 10^{24}$

Step 2

Multiply $10^{27}$ by $10^{24}$ by adding the exponents.

Move $10^{24}$ .

$0.31\overline{6} \cdot (10^{24} \cdot 10^{27})$

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

$0.31\overline{6} \cdot 10^{24 + 27}$

Add $24$ and $27$ .

$0.31\overline{6} \cdot 10^{51}$

Step 3

Move the decimal point in $0.31\overline{6}$ to the right by $1$ place and decrease the power of $10^{51}$ by $1$ .

$3.1\overline{6} \cdot 10^{50}$

Evaluate Using Scientific Notation (1.9*10^27)÷6*10^24