Evaluate Using Scientific Notation (2.210^4)÷(2.510^4)

$(2.2 \cdot 10^{4}) \div (2.5 \cdot 10^{4})$

Step 1

Divide using scientific notation.

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

$(\frac{2.2}{2.5}) (\frac{10^{4}}{10^{4}})$

Divide $2.2$ by $2.5$ .

$0.88 \frac{10^{4}}{10^{4}}$

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

$0.88 \cdot 10^{4 + 4 \cdot - 1}$

Multiply $4$ by $- 1$ .

$0.88 \cdot 10^{4 - 4}$

Subtract $4$ from $4$ .

$0.88 \cdot 10^{0}$

Step 2

Move the decimal point in $0.88$ to the right by $1$ place and decrease the power of $10^{0}$ by $1$ .

$8.8 \cdot 10^{- 1}$

Evaluate Using Scientific Notation (2.2*10^4)÷(2.5*10^4)