Finite Math Examples

$16 = k \cdot 4^{3}$

Step 1

Rewrite the equation as $k \cdot 4^{3} = 16$ .

$k \cdot 4^{3} = 16$

Step 2

Divide each term in $k \cdot 4^{3} = 16$ by $4^{3}$ and simplify.

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Step 2.1

Divide each term in $k \cdot 4^{3} = 16$ by $4^{3}$ .

$\frac{k \cdot 4^{3}}{4^{3}} = \frac{16}{4^{3}}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $4^{3}$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{k \cdot 4^{3}}{4^{3}} = \frac{16}{4^{3}}$

Step 2.2.1.2

Divide $k$ by $1$ .

$k = \frac{16}{4^{3}}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Raise $4$ to the power of $3$ .

$k = \frac{16}{64}$

Step 2.3.2

Cancel the common factor of $16$ and $64$ .

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Step 2.3.2.1

Factor $16$ out of $16$ .

$k = \frac{16 (1)}{64}$

Step 2.3.2.2

Cancel the common factors.

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Step 2.3.2.2.1

Factor $16$ out of $64$ .

$k = \frac{16 \cdot 1}{16 \cdot 4}$

Step 2.3.2.2.2

Cancel the common factor.

$k = \frac{16 \cdot 1}{16 \cdot 4}$

Step 2.3.2.2.3

Rewrite the expression.

$k = \frac{1}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$k = \frac{1}{4}$

Decimal Form:

$k = 0.25$