Evaluate Using Scientific Notation (1.910^4)÷(7.610^5)

$(1.9 \cdot 10^{4}) \div (7.6 \cdot 10^{5})$

Step 1

Divide using scientific notation.

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

$(\frac{1.9}{7.6}) (\frac{10^{4}}{10^{5}})$

Divide $1.9$ by $7.6$ .

$0.25 \frac{10^{4}}{10^{5}}$

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

$0.25 \cdot 10^{4 + 5 \cdot - 1}$

Multiply $5$ by $- 1$ .

$0.25 \cdot 10^{4 - 5}$

Subtract $5$ from $4$ .

$0.25 \cdot 10^{- 1}$

Step 2

Move the decimal point in $0.25$ to the right by $1$ place and decrease the power of $10^{- 1}$ by $1$ .

$2.5 \cdot 10^{- 2}$

Evaluate Using Scientific Notation (1.9*10^4)÷(7.6*10^5)