Calculus Examples

$1.21 \cdot 10^{6} = k {(550)}^{2}$

Step 1

Rewrite the equation as $k \cdot 550^{2} = 1.21 \cdot 10^{6}$ .

$k \cdot 550^{2} = 1.21 \cdot 10^{6}$

Step 2

Divide each term in $k \cdot 550^{2} = 1.21 \cdot 10^{6}$ by $550^{2}$ and simplify.

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Step 2.1

Divide each term in $k \cdot 550^{2} = 1.21 \cdot 10^{6}$ by $550^{2}$ .

$\frac{k \cdot 550^{2}}{550^{2}} = \frac{1.21 \cdot 10^{6}}{550^{2}}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $550^{2}$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{k \cdot 550^{2}}{550^{2}} = \frac{1.21 \cdot 10^{6}}{550^{2}}$

Step 2.2.1.2

Divide $k$ by $1$ .

$k = \frac{1.21 \cdot 10^{6}}{550^{2}}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Raise $550$ to the power of $2$ .

$k = \frac{1.21 \cdot 10^{6}}{302500}$

Step 2.3.2

Divide using scientific notation.

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Step 2.3.2.1

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

$k = (\frac{1.21}{302500}) (\frac{10^{6}}{1})$

Step 2.3.2.2

Divide $1.21$ by $302500$ .

$k = 0.000004 \frac{10^{6}}{1}$

Step 2.3.2.3

Divide $10^{6}$ by $1$ .

$k = 0.000004 \cdot 10^{6}$

Step 2.3.3

Move the decimal point in $0.000004$ to the right by $6$ places and decrease the power of $10^{6}$ by $6$ .

$k = 4 \cdot 10^{0}$

Step 2.3.4

Convert $4 \cdot 10^{0}$ from scientific notation.

$k = 4$