Evaluate Using Scientific Notation (1.24810^-2)÷7.810^-7

$1.248 \cdot 10^{- 2} \div 7.8 \cdot 10^{- 7}$

Step 1

Divide using scientific notation.

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

$(\frac{1.248}{7.8}) (\frac{10^{- 2}}{1}) \cdot 10^{- 7}$

Divide $1.248$ by $7.8$ .

$0.16 \frac{10^{- 2}}{1} \cdot 10^{- 7}$

Divide $10^{- 2}$ by $1$ .

$0.16 \cdot 10^{- 2} \cdot 10^{- 7}$

Step 2

Multiply $10^{- 2}$ by $10^{- 7}$ by adding the exponents.

Move $10^{- 7}$ .

$0.16 \cdot (10^{- 7} \cdot 10^{- 2})$

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

$0.16 \cdot 10^{- 7 - 2}$

Subtract $2$ from $- 7$ .

$0.16 \cdot 10^{- 9}$

Step 3

Move the decimal point in $0.16$ to the right by $1$ place and decrease the power of $10^{- 9}$ by $1$ .

$1.6 \cdot 10^{- 10}$

Evaluate Using Scientific Notation (1.248*10^-2)÷7.8*10^-7