Trigonometry Examples

$576 = k \cdot 6^{2}$

Step 1

Rewrite the equation as $k \cdot 6^{2} = 576$ .

$k \cdot 6^{2} = 576$

Step 2

Divide each term in $k \cdot 6^{2} = 576$ by $6^{2}$ and simplify.

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Step 2.1

Divide each term in $k \cdot 6^{2} = 576$ by $6^{2}$ .

$\frac{k \cdot 6^{2}}{6^{2}} = \frac{576}{6^{2}}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $6^{2}$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{k \cdot 6^{2}}{6^{2}} = \frac{576}{6^{2}}$

Step 2.2.1.2

Divide $k$ by $1$ .

$k = \frac{576}{6^{2}}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Raise $6$ to the power of $2$ .

$k = \frac{576}{36}$

Step 2.3.2

Divide $576$ by $36$ .

$k = 16$