Algebra Examples

$\frac{1.8 \cdot 10^{2}}{9 \cdot 10^{- 5}}$

Step 1

Divide using scientific notation.

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Step 1.1

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

$(\frac{1.8}{9}) (\frac{10^{2}}{10^{- 5}})$

Step 1.2

Divide $1.8$ by $9$ .

$0.2 \frac{10^{2}}{10^{- 5}}$

Step 1.3

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

$0.2 \cdot 10^{2 - 5 \cdot - 1}$

Step 1.4

Multiply $- 5$ by $- 1$ .

$0.2 \cdot 10^{2 + 5}$

Step 1.5

Add $2$ and $5$ .

$0.2 \cdot 10^{7}$

Step 2

Move the decimal point in $0.2$ to the right by $1$ place and decrease the power of $10^{7}$ by $1$ .

$2 \cdot 10^{6}$